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Finding the Fourth Proportional to 152,101.64, 209,902.92 and 84,117.56

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Solution

The fourth proportional to 152,101.64, 209,902.92 and 84,117.56 is: 116,083.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,101.64 : 209,902.92 = 84,117.56 : x
  2. Step 2: Convert to fraction form
    152,101.64/209,902.92 = 84,117.56/x
  3. Step 3: Cross multiply
    152,101.64x = 209,902.92 × 84,117.56
  4. Step 4: Simplify right side
    152,101.64x = 17,656,521,467.28
  5. Step 5: Solve for x
    x = 17,656,521,467.28/152,101.64
  6. Step 6: Final answer
    x = 116,083.70

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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.