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Finding the Fourth Proportional to 231,296.70, 319,191.45 and 127,929.16

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Solution

The fourth proportional to 231,296.70, 319,191.45 and 127,929.16 is: 176,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,296.70 : 319,191.45 = 127,929.16 : x
  2. Step 2: Convert to fraction form
    231,296.70/319,191.45 = 127,929.16/x
  3. Step 3: Cross multiply
    231,296.70x = 319,191.45 × 127,929.16
  4. Step 4: Simplify right side
    231,296.70x = 40,833,893,398.45
  5. Step 5: Solve for x
    x = 40,833,893,398.45/231,296.70
  6. Step 6: Final answer
    x = 176,543.34

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1.5x scale

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.