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Finding the Fourth Proportional to 283,165.90, 424,748.85 and 157,194.70

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Solution

The fourth proportional to 283,165.90, 424,748.85 and 157,194.70 is: 235,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,165.90 : 424,748.85 = 157,194.70 : x
  2. Step 2: Convert to fraction form
    283,165.90/424,748.85 = 157,194.70/x
  3. Step 3: Cross multiply
    283,165.90x = 424,748.85 × 157,194.70
  4. Step 4: Simplify right side
    283,165.90x = 66,768,268,051.10
  5. Step 5: Solve for x
    x = 66,768,268,051.10/283,165.90
  6. Step 6: Final answer
    x = 235,792.05

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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.