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Finding the Fourth Proportional to 229,642.92, 344,412.54 and 81,898.92

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Solution

The fourth proportional to 229,642.92, 344,412.54 and 81,898.92 is: 122,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,642.92 : 344,412.54 = 81,898.92 : x
  2. Step 2: Convert to fraction form
    229,642.92/344,412.54 = 81,898.92/x
  3. Step 3: Cross multiply
    229,642.92x = 344,412.54 × 81,898.92
  4. Step 4: Simplify right side
    229,642.92x = 28,207,015,060.46
  5. Step 5: Solve for x
    x = 28,207,015,060.46/229,642.92
  6. Step 6: Final answer
    x = 122,829.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.