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Finding the Fourth Proportional to 209,029.48, 288,461.16 and 113,534.16

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Solution

The fourth proportional to 209,029.48, 288,461.16 and 113,534.16 is: 156,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,029.48 : 288,461.16 = 113,534.16 : x
  2. Step 2: Convert to fraction form
    209,029.48/288,461.16 = 113,534.16/x
  3. Step 3: Cross multiply
    209,029.48x = 288,461.16 × 113,534.16
  4. Step 4: Simplify right side
    209,029.48x = 32,750,195,493.23
  5. Step 5: Solve for x
    x = 32,750,195,493.23/209,029.48
  6. Step 6: Final answer
    x = 156,677.40

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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.