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Finding the Fourth Proportional to 209,182.32, 288,671.63 and 113,689.01

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Solution

The fourth proportional to 209,182.32, 288,671.63 and 113,689.01 is: 156,890.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,182.32 : 288,671.63 = 113,689.01 : x
  2. Step 2: Convert to fraction form
    209,182.32/288,671.63 = 113,689.01/x
  3. Step 3: Cross multiply
    209,182.32x = 288,671.63 × 113,689.01
  4. Step 4: Simplify right side
    209,182.32x = 32,818,791,829.79
  5. Step 5: Solve for x
    x = 32,818,791,829.79/209,182.32
  6. Step 6: Final answer
    x = 156,890.85

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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.