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Finding the Fourth Proportional to 261,025.40, 391,538.10 and 178,081.40

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Solution

The fourth proportional to 261,025.40, 391,538.10 and 178,081.40 is: 267,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,025.40 : 391,538.10 = 178,081.40 : x
  2. Step 2: Convert to fraction form
    261,025.40/391,538.10 = 178,081.40/x
  3. Step 3: Cross multiply
    261,025.40x = 391,538.10 × 178,081.40
  4. Step 4: Simplify right side
    261,025.40x = 69,725,653,001.34
  5. Step 5: Solve for x
    x = 69,725,653,001.34/261,025.40
  6. Step 6: Final answer
    x = 267,122.10

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1.5x scale

Why These Related Problems?

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