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Finding the Fourth Proportional to 102,508.53, 141,477.35 and 62,214.51

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Solution

The fourth proportional to 102,508.53, 141,477.35 and 62,214.51 is: 85,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,508.53 : 141,477.35 = 62,214.51 : x
  2. Step 2: Convert to fraction form
    102,508.53/141,477.35 = 62,214.51/x
  3. Step 3: Cross multiply
    102,508.53x = 141,477.35 × 62,214.51
  4. Step 4: Simplify right side
    102,508.53x = 8,801,944,006.35
  5. Step 5: Solve for x
    x = 8,801,944,006.35/102,508.53
  6. Step 6: Final answer
    x = 85,865.48

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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.