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Finding the Fourth Proportional to 284,892.38, 393,126.99 and 157,536.08

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Solution

The fourth proportional to 284,892.38, 393,126.99 and 157,536.08 is: 217,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,892.38 : 393,126.99 = 157,536.08 : x
  2. Step 2: Convert to fraction form
    284,892.38/393,126.99 = 157,536.08/x
  3. Step 3: Cross multiply
    284,892.38x = 393,126.99 × 157,536.08
  4. Step 4: Simplify right side
    284,892.38x = 61,931,684,946.80
  5. Step 5: Solve for x
    x = 61,931,684,946.80/284,892.38
  6. Step 6: Final answer
    x = 217,386.25

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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.