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Finding the Fourth Proportional to 102,365.12, 141,264.16 and 59,352.96

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Solution

The fourth proportional to 102,365.12, 141,264.16 and 59,352.96 is: 81,907.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,365.12 : 141,264.16 = 59,352.96 : x
  2. Step 2: Convert to fraction form
    102,365.12/141,264.16 = 59,352.96/x
  3. Step 3: Cross multiply
    102,365.12x = 141,264.16 × 59,352.96
  4. Step 4: Simplify right side
    102,365.12x = 8,384,446,037.91
  5. Step 5: Solve for x
    x = 8,384,446,037.91/102,365.12
  6. Step 6: Final answer
    x = 81,907.26

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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.