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Finding the Fourth Proportional to 145,922.46, 201,373.08 and 78,854.46

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Solution

The fourth proportional to 145,922.46, 201,373.08 and 78,854.46 is: 108,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,922.46 : 201,373.08 = 78,854.46 : x
  2. Step 2: Convert to fraction form
    145,922.46/201,373.08 = 78,854.46/x
  3. Step 3: Cross multiply
    145,922.46x = 201,373.08 × 78,854.46
  4. Step 4: Simplify right side
    145,922.46x = 15,879,165,481.94
  5. Step 5: Solve for x
    x = 15,879,165,481.94/145,922.46
  6. Step 6: Final answer
    x = 108,819.20

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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.