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Finding the Fourth Proportional to 292,212.90, 438,363.15 and 123,732.90

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Solution

The fourth proportional to 292,212.90, 438,363.15 and 123,732.90 is: 185,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,212.90 : 438,363.15 = 123,732.90 : x
  2. Step 2: Convert to fraction form
    292,212.90/438,363.15 = 123,732.90/x
  3. Step 3: Cross multiply
    292,212.90x = 438,363.15 × 123,732.90
  4. Step 4: Simplify right side
    292,212.90x = 54,239,943,802.64
  5. Step 5: Solve for x
    x = 54,239,943,802.64/292,212.90
  6. Step 6: Final answer
    x = 185,617.90

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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.