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Finding the Fourth Proportional to 107,700.18, 148,664.61 and 77,503.38

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Solution

The fourth proportional to 107,700.18, 148,664.61 and 77,503.38 is: 106,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,700.18 : 148,664.61 = 77,503.38 : x
  2. Step 2: Convert to fraction form
    107,700.18/148,664.61 = 77,503.38/x
  3. Step 3: Cross multiply
    107,700.18x = 148,664.61 × 77,503.38
  4. Step 4: Simplify right side
    107,700.18x = 11,522,009,761.38
  5. Step 5: Solve for x
    x = 11,522,009,761.38/107,700.18
  6. Step 6: Final answer
    x = 106,982.27

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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.