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Finding the Fourth Proportional to 96,705.72, 133,417.80 and 74,021.40

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Solution

The fourth proportional to 96,705.72, 133,417.80 and 74,021.40 is: 102,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,705.72 : 133,417.80 = 74,021.40 : x
  2. Step 2: Convert to fraction form
    96,705.72/133,417.80 = 74,021.40/x
  3. Step 3: Cross multiply
    96,705.72x = 133,417.80 × 74,021.40
  4. Step 4: Simplify right side
    96,705.72x = 9,875,772,340.92
  5. Step 5: Solve for x
    x = 9,875,772,340.92/96,705.72
  6. Step 6: Final answer
    x = 102,121.90

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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.