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Finding the Fourth Proportional to 151,514.16, 209,012.64 and 115,641.90

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Solution

The fourth proportional to 151,514.16, 209,012.64 and 115,641.90 is: 159,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,514.16 : 209,012.64 = 115,641.90 : x
  2. Step 2: Convert to fraction form
    151,514.16/209,012.64 = 115,641.90/x
  3. Step 3: Cross multiply
    151,514.16x = 209,012.64 × 115,641.90
  4. Step 4: Simplify right side
    151,514.16x = 24,170,618,813.62
  5. Step 5: Solve for x
    x = 24,170,618,813.62/151,514.16
  6. Step 6: Final answer
    x = 159,527.13

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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.