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Finding the Fourth Proportional to 180,212.90, 248,680.71 and 99,641.42

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Solution

The fourth proportional to 180,212.90, 248,680.71 and 99,641.42 is: 137,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,212.90 : 248,680.71 = 99,641.42 : x
  2. Step 2: Convert to fraction form
    180,212.90/248,680.71 = 99,641.42/x
  3. Step 3: Cross multiply
    180,212.90x = 248,680.71 × 99,641.42
  4. Step 4: Simplify right side
    180,212.90x = 24,778,899,071.01
  5. Step 5: Solve for x
    x = 24,778,899,071.01/180,212.90
  6. Step 6: Final answer
    x = 137,497.92

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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.