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Finding the Fourth Proportional to 144,563.16, 216,864.90 and 65,697.24

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Solution

The fourth proportional to 144,563.16, 216,864.90 and 65,697.24 is: 98,555.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,563.16 : 216,864.90 = 65,697.24 : x
  2. Step 2: Convert to fraction form
    144,563.16/216,864.90 = 65,697.24/x
  3. Step 3: Cross multiply
    144,563.16x = 216,864.90 × 65,697.24
  4. Step 4: Simplify right side
    144,563.16x = 14,247,425,382.88
  5. Step 5: Solve for x
    x = 14,247,425,382.88/144,563.16
  6. Step 6: Final answer
    x = 98,555.02

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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.