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Finding the Fourth Proportional to 209,037.72, 288,477.42 and 113,549.88

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Solution

The fourth proportional to 209,037.72, 288,477.42 and 113,549.88 is: 156,701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,037.72 : 288,477.42 = 113,549.88 : x
  2. Step 2: Convert to fraction form
    209,037.72/288,477.42 = 113,549.88/x
  3. Step 3: Cross multiply
    209,037.72x = 288,477.42 × 113,549.88
  4. Step 4: Simplify right side
    209,037.72x = 32,756,576,423.71
  5. Step 5: Solve for x
    x = 32,756,576,423.71/209,037.72
  6. Step 6: Final answer
    x = 156,701.75

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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.