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Finding the Fourth Proportional to 125,406.40, 188,038.32 and 96,933.28

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Solution

The fourth proportional to 125,406.40, 188,038.32 and 96,933.28 is: 145,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,406.40 : 188,038.32 = 96,933.28 : x
  2. Step 2: Convert to fraction form
    125,406.40/188,038.32 = 96,933.28/x
  3. Step 3: Cross multiply
    125,406.40x = 188,038.32 × 96,933.28
  4. Step 4: Simplify right side
    125,406.40x = 18,227,171,123.29
  5. Step 5: Solve for x
    x = 18,227,171,123.29/125,406.40
  6. Step 6: Final answer
    x = 145,344.82

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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.