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Finding the Fourth Proportional to 228,232.31, 314,854.46 and 147,685.87

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Solution

The fourth proportional to 228,232.31, 314,854.46 and 147,685.87 is: 203,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,232.31 : 314,854.46 = 147,685.87 : x
  2. Step 2: Convert to fraction form
    228,232.31/314,854.46 = 147,685.87/x
  3. Step 3: Cross multiply
    228,232.31x = 314,854.46 × 147,685.87
  4. Step 4: Simplify right side
    228,232.31x = 46,499,552,535.78
  5. Step 5: Solve for x
    x = 46,499,552,535.78/228,232.31
  6. Step 6: Final answer
    x = 203,737.82

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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.