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Finding the Fourth Proportional to 142,049.68, 213,109.20 and 47,279.68

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Solution

The fourth proportional to 142,049.68, 213,109.20 and 47,279.68 is: 70,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,049.68 : 213,109.20 = 47,279.68 : x
  2. Step 2: Convert to fraction form
    142,049.68/213,109.20 = 47,279.68/x
  3. Step 3: Cross multiply
    142,049.68x = 213,109.20 × 47,279.68
  4. Step 4: Simplify right side
    142,049.68x = 10,075,734,781.06
  5. Step 5: Solve for x
    x = 10,075,734,781.06/142,049.68
  6. Step 6: Final answer
    x = 70,931.06

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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.