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Finding the Fourth Proportional to 242,701.85, 334,900.87 and 140,706.04

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Solution

The fourth proportional to 242,701.85, 334,900.87 and 140,706.04 is: 194,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,701.85 : 334,900.87 = 140,706.04 : x
  2. Step 2: Convert to fraction form
    242,701.85/334,900.87 = 140,706.04/x
  3. Step 3: Cross multiply
    242,701.85x = 334,900.87 × 140,706.04
  4. Step 4: Simplify right side
    242,701.85x = 47,122,575,210.25
  5. Step 5: Solve for x
    x = 47,122,575,210.25/242,701.85
  6. Step 6: Final answer
    x = 194,158.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.