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Finding the Fourth Proportional to 163,098.40, 224,867.40 and 105,636.16

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Solution

The fourth proportional to 163,098.40, 224,867.40 and 105,636.16 is: 145,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,098.40 : 224,867.40 = 105,636.16 : x
  2. Step 2: Convert to fraction form
    163,098.40/224,867.40 = 105,636.16/x
  3. Step 3: Cross multiply
    163,098.40x = 224,867.40 × 105,636.16
  4. Step 4: Simplify right side
    163,098.40x = 23,754,128,645.18
  5. Step 5: Solve for x
    x = 23,754,128,645.18/163,098.40
  6. Step 6: Final answer
    x = 145,642.93

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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.