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Finding the Fourth Proportional to 198,689.76, 274,199.08 and 113,823.23

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Solution

The fourth proportional to 198,689.76, 274,199.08 and 113,823.23 is: 157,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,689.76 : 274,199.08 = 113,823.23 : x
  2. Step 2: Convert to fraction form
    198,689.76/274,199.08 = 113,823.23/x
  3. Step 3: Cross multiply
    198,689.76x = 274,199.08 × 113,823.23
  4. Step 4: Simplify right side
    198,689.76x = 31,210,224,547.69
  5. Step 5: Solve for x
    x = 31,210,224,547.69/198,689.76
  6. Step 6: Final answer
    x = 157,080.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.