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Finding the Fourth Proportional to 259,775.64, 358,358.31 and 157,773.96

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Solution

The fourth proportional to 259,775.64, 358,358.31 and 157,773.96 is: 217,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,775.64 : 358,358.31 = 157,773.96 : x
  2. Step 2: Convert to fraction form
    259,775.64/358,358.31 = 157,773.96/x
  3. Step 3: Cross multiply
    259,775.64x = 358,358.31 × 157,773.96
  4. Step 4: Simplify right side
    259,775.64x = 56,539,609,667.61
  5. Step 5: Solve for x
    x = 56,539,609,667.61/259,775.64
  6. Step 6: Final answer
    x = 217,647.85

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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.