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Finding the Fourth Proportional to 229,316.42, 316,446.01 and 127,348.36

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Solution

The fourth proportional to 229,316.42, 316,446.01 and 127,348.36 is: 175,734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,316.42 : 316,446.01 = 127,348.36 : x
  2. Step 2: Convert to fraction form
    229,316.42/316,446.01 = 127,348.36/x
  3. Step 3: Cross multiply
    229,316.42x = 316,446.01 × 127,348.36
  4. Step 4: Simplify right side
    229,316.42x = 40,298,879,292.56
  5. Step 5: Solve for x
    x = 40,298,879,292.56/229,316.42
  6. Step 6: Final answer
    x = 175,734.82

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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.