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Finding the Fourth Proportional to 151,773.44, 209,447.61 and 83,790.52

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Solution

The fourth proportional to 151,773.44, 209,447.61 and 83,790.52 is: 115,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,773.44 : 209,447.61 = 83,790.52 : x
  2. Step 2: Convert to fraction form
    151,773.44/209,447.61 = 83,790.52/x
  3. Step 3: Cross multiply
    151,773.44x = 209,447.61 × 83,790.52
  4. Step 4: Simplify right side
    151,773.44x = 17,549,724,154.66
  5. Step 5: Solve for x
    x = 17,549,724,154.66/151,773.44
  6. Step 6: Final answer
    x = 115,631.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.