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Finding the Fourth Proportional to 100,545.95, 138,702.08 and 64,209.20

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Solution

The fourth proportional to 100,545.95, 138,702.08 and 64,209.20 is: 88,575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,545.95 : 138,702.08 = 64,209.20 : x
  2. Step 2: Convert to fraction form
    100,545.95/138,702.08 = 64,209.20/x
  3. Step 3: Cross multiply
    100,545.95x = 138,702.08 × 64,209.20
  4. Step 4: Simplify right side
    100,545.95x = 8,905,950,102.41
  5. Step 5: Solve for x
    x = 8,905,950,102.41/100,545.95
  6. Step 6: Final answer
    x = 88,575.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.