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Finding the Fourth Proportional to 189,061.10, 283,246.05 and 153,809.90

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Solution

The fourth proportional to 189,061.10, 283,246.05 and 153,809.90 is: 230,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,061.10 : 283,246.05 = 153,809.90 : x
  2. Step 2: Convert to fraction form
    189,061.10/283,246.05 = 153,809.90/x
  3. Step 3: Cross multiply
    189,061.10x = 283,246.05 × 153,809.90
  4. Step 4: Simplify right side
    189,061.10x = 43,566,046,625.90
  5. Step 5: Solve for x
    x = 43,566,046,625.90/189,061.10
  6. Step 6: Final answer
    x = 230,433.69

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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.