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Finding the Fourth Proportional to 152,043.08, 209,818.32 and 84,063

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Solution

The fourth proportional to 152,043.08, 209,818.32 and 84,063 is: 116,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,043.08 : 209,818.32 = 84,063 : x
  2. Step 2: Convert to fraction form
    152,043.08/209,818.32 = 84,063/x
  3. Step 3: Cross multiply
    152,043.08x = 209,818.32 × 84,063
  4. Step 4: Simplify right side
    152,043.08x = 17,637,957,434.16
  5. Step 5: Solve for x
    x = 17,637,957,434.16/152,043.08
  6. Step 6: Final answer
    x = 116,006.32

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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.