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Finding the Fourth Proportional to 102,357.64, 141,254.55 and 59,917.06

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Solution

The fourth proportional to 102,357.64, 141,254.55 and 59,917.06 is: 82,686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,357.64 : 141,254.55 = 59,917.06 : x
  2. Step 2: Convert to fraction form
    102,357.64/141,254.55 = 59,917.06/x
  3. Step 3: Cross multiply
    102,357.64x = 141,254.55 × 59,917.06
  4. Step 4: Simplify right side
    102,357.64x = 8,463,557,347.62
  5. Step 5: Solve for x
    x = 8,463,557,347.62/102,357.64
  6. Step 6: Final answer
    x = 82,686.13

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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.