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Finding the Fourth Proportional to 189,859.10, 284,788.65 and 101,066.90

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Solution

The fourth proportional to 189,859.10, 284,788.65 and 101,066.90 is: 151,600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,859.10 : 284,788.65 = 101,066.90 : x
  2. Step 2: Convert to fraction form
    189,859.10/284,788.65 = 101,066.90/x
  3. Step 3: Cross multiply
    189,859.10x = 284,788.65 × 101,066.90
  4. Step 4: Simplify right side
    189,859.10x = 28,782,706,010.69
  5. Step 5: Solve for x
    x = 28,782,706,010.69/189,859.10
  6. Step 6: Final answer
    x = 151,600.35

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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.