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Finding the Fourth Proportional to 229,412.44, 316,578.94 and 127,444.78

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Solution

The fourth proportional to 229,412.44, 316,578.94 and 127,444.78 is: 175,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,412.44 : 316,578.94 = 127,444.78 : x
  2. Step 2: Convert to fraction form
    229,412.44/316,578.94 = 127,444.78/x
  3. Step 3: Cross multiply
    229,412.44x = 316,578.94 × 127,444.78
  4. Step 4: Simplify right side
    229,412.44x = 40,346,333,360.93
  5. Step 5: Solve for x
    x = 40,346,333,360.93/229,412.44
  6. Step 6: Final answer
    x = 175,868.11

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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.