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Finding the Fourth Proportional to 180,221.96, 248,695.62 and 99,643.16

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Solution

The fourth proportional to 180,221.96, 248,695.62 and 99,643.16 is: 137,501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,221.96 : 248,695.62 = 99,643.16 : x
  2. Step 2: Convert to fraction form
    180,221.96/248,695.62 = 99,643.16/x
  3. Step 3: Cross multiply
    180,221.96x = 248,695.62 × 99,643.16
  4. Step 4: Simplify right side
    180,221.96x = 24,780,817,454.96
  5. Step 5: Solve for x
    x = 24,780,817,454.96/180,221.96
  6. Step 6: Final answer
    x = 137,501.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.