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Finding the Fourth Proportional to 261,851.70, 391,870.35 and 156,746.10

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Solution

The fourth proportional to 261,851.70, 391,870.35 and 156,746.10 is: 234,576.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,851.70 : 391,870.35 = 156,746.10 : x
  2. Step 2: Convert to fraction form
    261,851.70/391,870.35 = 156,746.10/x
  3. Step 3: Cross multiply
    261,851.70x = 391,870.35 × 156,746.10
  4. Step 4: Simplify right side
    261,851.70x = 61,424,149,068.14
  5. Step 5: Solve for x
    x = 61,424,149,068.14/261,851.70
  6. Step 6: Final answer
    x = 234,576.09

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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.