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Finding the Fourth Proportional to 316,031.68, 473,948.70 and 105,620.41

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Solution

The fourth proportional to 316,031.68, 473,948.70 and 105,620.41 is: 158,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,031.68 : 473,948.70 = 105,620.41 : x
  2. Step 2: Convert to fraction form
    316,031.68/473,948.70 = 105,620.41/x
  3. Step 3: Cross multiply
    316,031.68x = 473,948.70 × 105,620.41
  4. Step 4: Simplify right side
    316,031.68x = 50,058,656,012.97
  5. Step 5: Solve for x
    x = 50,058,656,012.97/316,031.68
  6. Step 6: Final answer
    x = 158,397.59

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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.