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Finding the Fourth Proportional to 316,050.24, 473,976.54 and 105,638.97

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Solution

The fourth proportional to 316,050.24, 473,976.54 and 105,638.97 is: 158,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,050.24 : 473,976.54 = 105,638.97 : x
  2. Step 2: Convert to fraction form
    316,050.24/473,976.54 = 105,638.97/x
  3. Step 3: Cross multiply
    316,050.24x = 473,976.54 × 105,638.97
  4. Step 4: Simplify right side
    316,050.24x = 50,070,393,489.76
  5. Step 5: Solve for x
    x = 50,070,393,489.76/316,050.24
  6. Step 6: Final answer
    x = 158,425.42

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