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Finding the Fourth Proportional to 229,444.80, 316,684.56 and 127,505.28

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Solution

The fourth proportional to 229,444.80, 316,684.56 and 127,505.28 is: 175,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,444.80 : 316,684.56 = 127,505.28 : x
  2. Step 2: Convert to fraction form
    229,444.80/316,684.56 = 127,505.28/x
  3. Step 3: Cross multiply
    229,444.80x = 316,684.56 × 127,505.28
  4. Step 4: Simplify right side
    229,444.80x = 40,378,953,494.48
  5. Step 5: Solve for x
    x = 40,378,953,494.48/229,444.80
  6. Step 6: Final answer
    x = 175,985.48

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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.