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Finding the Fourth Proportional to 102,522.36, 141,484.32 and 59,498.52

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Solution

The fourth proportional to 102,522.36, 141,484.32 and 59,498.52 is: 82,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,522.36 : 141,484.32 = 59,498.52 : x
  2. Step 2: Convert to fraction form
    102,522.36/141,484.32 = 59,498.52/x
  3. Step 3: Cross multiply
    102,522.36x = 141,484.32 × 59,498.52
  4. Step 4: Simplify right side
    102,522.36x = 8,418,107,643.21
  5. Step 5: Solve for x
    x = 8,418,107,643.21/102,522.36
  6. Step 6: Final answer
    x = 82,109.97

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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.