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Finding the Fourth Proportional to 229,013.04, 316,054.80 and 127,054.56

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Solution

The fourth proportional to 229,013.04, 316,054.80 and 127,054.56 is: 175,344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,013.04 : 316,054.80 = 127,054.56 : x
  2. Step 2: Convert to fraction form
    229,013.04/316,054.80 = 127,054.56/x
  3. Step 3: Cross multiply
    229,013.04x = 316,054.80 × 127,054.56
  4. Step 4: Simplify right side
    229,013.04x = 40,156,203,549.89
  5. Step 5: Solve for x
    x = 40,156,203,549.89/229,013.04
  6. Step 6: Final answer
    x = 175,344.62

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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.