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Finding the Fourth Proportional to 275,437.22, 413,159.46 and 156,967.42

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Solution

The fourth proportional to 275,437.22, 413,159.46 and 156,967.42 is: 235,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,437.22 : 413,159.46 = 156,967.42 : x
  2. Step 2: Convert to fraction form
    275,437.22/413,159.46 = 156,967.42/x
  3. Step 3: Cross multiply
    275,437.22x = 413,159.46 × 156,967.42
  4. Step 4: Simplify right side
    275,437.22x = 64,852,574,484.79
  5. Step 5: Solve for x
    x = 64,852,574,484.79/275,437.22
  6. Step 6: Final answer
    x = 235,453.20

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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.