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Finding the Fourth Proportional to 229,035.74, 343,577.14 and 79,275.78

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Solution

The fourth proportional to 229,035.74, 343,577.14 and 79,275.78 is: 118,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,035.74 : 343,577.14 = 79,275.78 : x
  2. Step 2: Convert to fraction form
    229,035.74/343,577.14 = 79,275.78/x
  3. Step 3: Cross multiply
    229,035.74x = 343,577.14 × 79,275.78
  4. Step 4: Simplify right side
    229,035.74x = 27,237,345,565.48
  5. Step 5: Solve for x
    x = 27,237,345,565.48/229,035.74
  6. Step 6: Final answer
    x = 118,921.82

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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.