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Finding the Fourth Proportional to 556,193.12, 834,246.16 and 156,817.76

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Solution

The fourth proportional to 556,193.12, 834,246.16 and 156,817.76 is: 235,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,193.12 : 834,246.16 = 156,817.76 : x
  2. Step 2: Convert to fraction form
    556,193.12/834,246.16 = 156,817.76/x
  3. Step 3: Cross multiply
    556,193.12x = 834,246.16 × 156,817.76
  4. Step 4: Simplify right side
    556,193.12x = 130,824,614,099.80
  5. Step 5: Solve for x
    x = 130,824,614,099.80/556,193.12
  6. Step 6: Final answer
    x = 235,214.37

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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.