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Finding the Fourth Proportional to 113,820.60, 170,730.90 and 42,743.10

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Solution

The fourth proportional to 113,820.60, 170,730.90 and 42,743.10 is: 64,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,820.60 : 170,730.90 = 42,743.10 : x
  2. Step 2: Convert to fraction form
    113,820.60/170,730.90 = 42,743.10/x
  3. Step 3: Cross multiply
    113,820.60x = 170,730.90 × 42,743.10
  4. Step 4: Simplify right side
    113,820.60x = 7,297,567,931.79
  5. Step 5: Solve for x
    x = 7,297,567,931.79/113,820.60
  6. Step 6: Final answer
    x = 64,114.65

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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.