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Finding the Fourth Proportional to 180,221, 248,683.82 and 99,643.72

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Solution

The fourth proportional to 180,221, 248,683.82 and 99,643.72 is: 137,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,221 : 248,683.82 = 99,643.72 : x
  2. Step 2: Convert to fraction form
    180,221/248,683.82 = 99,643.72/x
  3. Step 3: Cross multiply
    180,221x = 248,683.82 × 99,643.72
  4. Step 4: Simplify right side
    180,221x = 24,779,780,928.61
  5. Step 5: Solve for x
    x = 24,779,780,928.61/180,221
  6. Step 6: Final answer
    x = 137,496.63

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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.