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Finding the Fourth Proportional to 157,165.49, 216,892.68 and 89,185.30

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Solution

The fourth proportional to 157,165.49, 216,892.68 and 89,185.30 is: 123,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,165.49 : 216,892.68 = 89,185.30 : x
  2. Step 2: Convert to fraction form
    157,165.49/216,892.68 = 89,185.30/x
  3. Step 3: Cross multiply
    157,165.49x = 216,892.68 × 89,185.30
  4. Step 4: Simplify right side
    157,165.49x = 19,343,638,733.60
  5. Step 5: Solve for x
    x = 19,343,638,733.60/157,165.49
  6. Step 6: Final answer
    x = 123,078.16

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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.