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Finding the Fourth Proportional to 151,920, 209,653.92 and 84,856.32

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Solution

The fourth proportional to 151,920, 209,653.92 and 84,856.32 is: 117,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,920 : 209,653.92 = 84,856.32 : x
  2. Step 2: Convert to fraction form
    151,920/209,653.92 = 84,856.32/x
  3. Step 3: Cross multiply
    151,920x = 209,653.92 × 84,856.32
  4. Step 4: Simplify right side
    151,920x = 17,790,460,124.77
  5. Step 5: Solve for x
    x = 17,790,460,124.77/151,920
  6. Step 6: Final answer
    x = 117,104.13

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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.