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Finding the Fourth Proportional to 102,894.30, 141,965.19 and 60,437.34

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Solution

The fourth proportional to 102,894.30, 141,965.19 and 60,437.34 is: 83,386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,894.30 : 141,965.19 = 60,437.34 : x
  2. Step 2: Convert to fraction form
    102,894.30/141,965.19 = 60,437.34/x
  3. Step 3: Cross multiply
    102,894.30x = 141,965.19 × 60,437.34
  4. Step 4: Simplify right side
    102,894.30x = 8,579,998,456.19
  5. Step 5: Solve for x
    x = 8,579,998,456.19/102,894.30
  6. Step 6: Final answer
    x = 83,386.53

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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.