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Finding the Fourth Proportional to 157,118.94, 216,823.74 and 85,498.94

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Solution

The fourth proportional to 157,118.94, 216,823.74 and 85,498.94 is: 117,988.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,118.94 : 216,823.74 = 85,498.94 : x
  2. Step 2: Convert to fraction form
    157,118.94/216,823.74 = 85,498.94/x
  3. Step 3: Cross multiply
    157,118.94x = 216,823.74 × 85,498.94
  4. Step 4: Simplify right side
    157,118.94x = 18,538,200,158.27
  5. Step 5: Solve for x
    x = 18,538,200,158.27/157,118.94
  6. Step 6: Final answer
    x = 117,988.32

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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.