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Finding the Fourth Proportional to 102,508.65, 153,773.91 and 43,350.30

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Solution

The fourth proportional to 102,508.65, 153,773.91 and 43,350.30 is: 65,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,508.65 : 153,773.91 = 43,350.30 : x
  2. Step 2: Convert to fraction form
    102,508.65/153,773.91 = 43,350.30/x
  3. Step 3: Cross multiply
    102,508.65x = 153,773.91 × 43,350.30
  4. Step 4: Simplify right side
    102,508.65x = 6,666,144,145.05
  5. Step 5: Solve for x
    x = 6,666,144,145.05/102,508.65
  6. Step 6: Final answer
    x = 65,030.07

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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.