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Finding the Fourth Proportional to 127,641.40, 191,462.14 and 57,438.70

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Solution

The fourth proportional to 127,641.40, 191,462.14 and 57,438.70 is: 86,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,641.40 : 191,462.14 = 57,438.70 : x
  2. Step 2: Convert to fraction form
    127,641.40/191,462.14 = 57,438.70/x
  3. Step 3: Cross multiply
    127,641.40x = 191,462.14 × 57,438.70
  4. Step 4: Simplify right side
    127,641.40x = 10,997,336,420.82
  5. Step 5: Solve for x
    x = 10,997,336,420.82/127,641.40
  6. Step 6: Final answer
    x = 86,158.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.