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Finding the Fourth Proportional to 556,096.80, 834,194.32 and 156,740.96

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Solution

The fourth proportional to 556,096.80, 834,194.32 and 156,740.96 is: 235,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,096.80 : 834,194.32 = 156,740.96 : x
  2. Step 2: Convert to fraction form
    556,096.80/834,194.32 = 156,740.96/x
  3. Step 3: Cross multiply
    556,096.80x = 834,194.32 × 156,740.96
  4. Step 4: Simplify right side
    556,096.80x = 130,752,418,543.35
  5. Step 5: Solve for x
    x = 130,752,418,543.35/556,096.80
  6. Step 6: Final answer
    x = 235,125.28

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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.