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Finding the Fourth Proportional to 275,547.10, 412,927.05 and 156,967.90

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Solution

The fourth proportional to 275,547.10, 412,927.05 and 156,967.90 is: 235,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,547.10 : 412,927.05 = 156,967.90 : x
  2. Step 2: Convert to fraction form
    275,547.10/412,927.05 = 156,967.90/x
  3. Step 3: Cross multiply
    275,547.10x = 412,927.05 × 156,967.90
  4. Step 4: Simplify right side
    275,547.10x = 64,816,291,891.70
  5. Step 5: Solve for x
    x = 64,816,291,891.70/275,547.10
  6. Step 6: Final answer
    x = 235,227.63

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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.