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Finding the Fourth Proportional to 221,147.28, 305,191.08 and 125,658

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Solution

The fourth proportional to 221,147.28, 305,191.08 and 125,658 is: 173,412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,147.28 : 305,191.08 = 125,658 : x
  2. Step 2: Convert to fraction form
    221,147.28/305,191.08 = 125,658/x
  3. Step 3: Cross multiply
    221,147.28x = 305,191.08 × 125,658
  4. Step 4: Simplify right side
    221,147.28x = 38,349,700,730.64
  5. Step 5: Solve for x
    x = 38,349,700,730.64/221,147.28
  6. Step 6: Final answer
    x = 173,412.49

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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.