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Finding the Fourth Proportional to 284,148.71, 392,126.03 and 155,088.36

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Solution

The fourth proportional to 284,148.71, 392,126.03 and 155,088.36 is: 214,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,148.71 : 392,126.03 = 155,088.36 : x
  2. Step 2: Convert to fraction form
    284,148.71/392,126.03 = 155,088.36/x
  3. Step 3: Cross multiply
    284,148.71x = 392,126.03 × 155,088.36
  4. Step 4: Simplify right side
    284,148.71x = 60,814,182,906.01
  5. Step 5: Solve for x
    x = 60,814,182,906.01/284,148.71
  6. Step 6: Final answer
    x = 214,022.38

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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.