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Finding the Fourth Proportional to 229,686.66, 344,230.17 and 117,271.82

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Solution

The fourth proportional to 229,686.66, 344,230.17 and 117,271.82 is: 175,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,686.66 : 344,230.17 = 117,271.82 : x
  2. Step 2: Convert to fraction form
    229,686.66/344,230.17 = 117,271.82/x
  3. Step 3: Cross multiply
    229,686.66x = 344,230.17 × 117,271.82
  4. Step 4: Simplify right side
    229,686.66x = 40,368,498,534.81
  5. Step 5: Solve for x
    x = 40,368,498,534.81/229,686.66
  6. Step 6: Final answer
    x = 175,754.65

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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.