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Finding the Fourth Proportional to 229,552.36, 316,782 and 127,574.62

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Solution

The fourth proportional to 229,552.36, 316,782 and 127,574.62 is: 176,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,552.36 : 316,782 = 127,574.62 : x
  2. Step 2: Convert to fraction form
    229,552.36/316,782 = 127,574.62/x
  3. Step 3: Cross multiply
    229,552.36x = 316,782 × 127,574.62
  4. Step 4: Simplify right side
    229,552.36x = 40,413,343,272.84
  5. Step 5: Solve for x
    x = 40,413,343,272.84/229,552.36
  6. Step 6: Final answer
    x = 176,052.83

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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.