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Finding the Fourth Proportional to 178,533.96, 267,565.84 and 83,749.40

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Solution

The fourth proportional to 178,533.96, 267,565.84 and 83,749.40 is: 125,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,533.96 : 267,565.84 = 83,749.40 : x
  2. Step 2: Convert to fraction form
    178,533.96/267,565.84 = 83,749.40/x
  3. Step 3: Cross multiply
    178,533.96x = 267,565.84 × 83,749.40
  4. Step 4: Simplify right side
    178,533.96x = 22,408,478,560.50
  5. Step 5: Solve for x
    x = 22,408,478,560.50/178,533.96
  6. Step 6: Final answer
    x = 125,513.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.