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Finding the Fourth Proportional to 237,742.65, 328,118.48 and 147,127.82

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Solution

The fourth proportional to 237,742.65, 328,118.48 and 147,127.82 is: 203,057.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,742.65 : 328,118.48 = 147,127.82 : x
  2. Step 2: Convert to fraction form
    237,742.65/328,118.48 = 147,127.82/x
  3. Step 3: Cross multiply
    237,742.65x = 328,118.48 × 147,127.82
  4. Step 4: Simplify right side
    237,742.65x = 48,275,354,287.88
  5. Step 5: Solve for x
    x = 48,275,354,287.88/237,742.65
  6. Step 6: Final answer
    x = 203,057.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.