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Finding the Fourth Proportional to 314,775.16, 472,215.04 and 125,237.32

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Solution

The fourth proportional to 314,775.16, 472,215.04 and 125,237.32 is: 187,876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,775.16 : 472,215.04 = 125,237.32 : x
  2. Step 2: Convert to fraction form
    314,775.16/472,215.04 = 125,237.32/x
  3. Step 3: Cross multiply
    314,775.16x = 472,215.04 × 125,237.32
  4. Step 4: Simplify right side
    314,775.16x = 59,138,946,073.29
  5. Step 5: Solve for x
    x = 59,138,946,073.29/314,775.16
  6. Step 6: Final answer
    x = 187,876.79

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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.