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Finding the Fourth Proportional to 102,595.53, 141,584.22 and 64,356.69

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Solution

The fourth proportional to 102,595.53, 141,584.22 and 64,356.69 is: 88,813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,595.53 : 141,584.22 = 64,356.69 : x
  2. Step 2: Convert to fraction form
    102,595.53/141,584.22 = 64,356.69/x
  3. Step 3: Cross multiply
    102,595.53x = 141,584.22 × 64,356.69
  4. Step 4: Simplify right side
    102,595.53x = 9,111,891,417.56
  5. Step 5: Solve for x
    x = 9,111,891,417.56/102,595.53
  6. Step 6: Final answer
    x = 88,813.73

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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.