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Finding the Fourth Proportional to 145,423.66, 218,138.26 and 45,581.66

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Solution

The fourth proportional to 145,423.66, 218,138.26 and 45,581.66 is: 68,373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,423.66 : 218,138.26 = 45,581.66 : x
  2. Step 2: Convert to fraction form
    145,423.66/218,138.26 = 45,581.66/x
  3. Step 3: Cross multiply
    145,423.66x = 218,138.26 × 45,581.66
  4. Step 4: Simplify right side
    145,423.66x = 9,943,104,000.31
  5. Step 5: Solve for x
    x = 9,943,104,000.31/145,423.66
  6. Step 6: Final answer
    x = 68,373.36

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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.