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Finding the Fourth Proportional to 102,227.85, 153,290.96 and 64,759.53

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Solution

The fourth proportional to 102,227.85, 153,290.96 and 64,759.53 is: 97,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,227.85 : 153,290.96 = 64,759.53 : x
  2. Step 2: Convert to fraction form
    102,227.85/153,290.96 = 64,759.53/x
  3. Step 3: Cross multiply
    102,227.85x = 153,290.96 × 64,759.53
  4. Step 4: Simplify right side
    102,227.85x = 9,927,050,199.05
  5. Step 5: Solve for x
    x = 9,927,050,199.05/102,227.85
  6. Step 6: Final answer
    x = 97,107.10

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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.