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Finding the Fourth Proportional to 209,038.86, 288,363.06 and 132,422.81

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Solution

The fourth proportional to 209,038.86, 288,363.06 and 132,422.81 is: 182,673.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,038.86 : 288,363.06 = 132,422.81 : x
  2. Step 2: Convert to fraction form
    209,038.86/288,363.06 = 132,422.81/x
  3. Step 3: Cross multiply
    209,038.86x = 288,363.06 × 132,422.81
  4. Step 4: Simplify right side
    209,038.86x = 38,185,845,263.58
  5. Step 5: Solve for x
    x = 38,185,845,263.58/209,038.86
  6. Step 6: Final answer
    x = 182,673.43

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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.