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Finding the Fourth Proportional to 106,838.30, 147,438.15 and 59,090.42

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Solution

The fourth proportional to 106,838.30, 147,438.15 and 59,090.42 is: 81,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,838.30 : 147,438.15 = 59,090.42 : x
  2. Step 2: Convert to fraction form
    106,838.30/147,438.15 = 59,090.42/x
  3. Step 3: Cross multiply
    106,838.30x = 147,438.15 × 59,090.42
  4. Step 4: Simplify right side
    106,838.30x = 8,712,182,207.52
  5. Step 5: Solve for x
    x = 8,712,182,207.52/106,838.30
  6. Step 6: Final answer
    x = 81,545.50

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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.