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Finding the Fourth Proportional to 155,282.96, 232,984.92 and 61,798.16

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Solution

The fourth proportional to 155,282.96, 232,984.92 and 61,798.16 is: 92,721.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,282.96 : 232,984.92 = 61,798.16 : x
  2. Step 2: Convert to fraction form
    155,282.96/232,984.92 = 61,798.16/x
  3. Step 3: Cross multiply
    155,282.96x = 232,984.92 × 61,798.16
  4. Step 4: Simplify right side
    155,282.96x = 14,398,039,363.75
  5. Step 5: Solve for x
    x = 14,398,039,363.75/155,282.96
  6. Step 6: Final answer
    x = 92,721.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.