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Finding the Fourth Proportional to 230,700.85, 346,051.28 and 106,041.85

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Solution

The fourth proportional to 230,700.85, 346,051.28 and 106,041.85 is: 159,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,700.85 : 346,051.28 = 106,041.85 : x
  2. Step 2: Convert to fraction form
    230,700.85/346,051.28 = 106,041.85/x
  3. Step 3: Cross multiply
    230,700.85x = 346,051.28 × 106,041.85
  4. Step 4: Simplify right side
    230,700.85x = 36,695,917,395.86
  5. Step 5: Solve for x
    x = 36,695,917,395.86/230,700.85
  6. Step 6: Final answer
    x = 159,062.78

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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.