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Finding the Fourth Proportional to 102,451.98, 153,641 and 43,292.22

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Solution

The fourth proportional to 102,451.98, 153,641 and 43,292.22 is: 64,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,451.98 : 153,641 = 43,292.22 : x
  2. Step 2: Convert to fraction form
    102,451.98/153,641 = 43,292.22/x
  3. Step 3: Cross multiply
    102,451.98x = 153,641 × 43,292.22
  4. Step 4: Simplify right side
    102,451.98x = 6,651,459,973.02
  5. Step 5: Solve for x
    x = 6,651,459,973.02/102,451.98
  6. Step 6: Final answer
    x = 64,922.71

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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.