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Finding the Fourth Proportional to 231,707.73, 319,484.23 and 185,730.61

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Solution

The fourth proportional to 231,707.73, 319,484.23 and 185,730.61 is: 256,089.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,707.73 : 319,484.23 = 185,730.61 : x
  2. Step 2: Convert to fraction form
    231,707.73/319,484.23 = 185,730.61/x
  3. Step 3: Cross multiply
    231,707.73x = 319,484.23 × 185,730.61
  4. Step 4: Simplify right side
    231,707.73x = 59,338,000,923.28
  5. Step 5: Solve for x
    x = 59,338,000,923.28/231,707.73
  6. Step 6: Final answer
    x = 256,089.86

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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.