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Finding the Fourth Proportional to 125,625.20, 188,437.80 and 55,641.20

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Solution

The fourth proportional to 125,625.20, 188,437.80 and 55,641.20 is: 83,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,625.20 : 188,437.80 = 55,641.20 : x
  2. Step 2: Convert to fraction form
    125,625.20/188,437.80 = 55,641.20/x
  3. Step 3: Cross multiply
    125,625.20x = 188,437.80 × 55,641.20
  4. Step 4: Simplify right side
    125,625.20x = 10,484,905,317.36
  5. Step 5: Solve for x
    x = 10,484,905,317.36/125,625.20
  6. Step 6: Final answer
    x = 83,461.80

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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.