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Finding the Fourth Proportional to 145,464.19, 218,194.09 and 65,445.65

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Solution

The fourth proportional to 145,464.19, 218,194.09 and 65,445.65 is: 98,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,464.19 : 218,194.09 = 65,445.65 : x
  2. Step 2: Convert to fraction form
    145,464.19/218,194.09 = 65,445.65/x
  3. Step 3: Cross multiply
    145,464.19x = 218,194.09 × 65,445.65
  4. Step 4: Simplify right side
    145,464.19x = 14,279,854,046.21
  5. Step 5: Solve for x
    x = 14,279,854,046.21/145,464.19
  6. Step 6: Final answer
    x = 98,167.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.