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Finding the Fourth Proportional to 209,000.64, 288,423 and 113,509.20

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Solution

The fourth proportional to 209,000.64, 288,423 and 113,509.20 is: 156,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,000.64 : 288,423 = 113,509.20 : x
  2. Step 2: Convert to fraction form
    209,000.64/288,423 = 113,509.20/x
  3. Step 3: Cross multiply
    209,000.64x = 288,423 × 113,509.20
  4. Step 4: Simplify right side
    209,000.64x = 32,738,663,991.60
  5. Step 5: Solve for x
    x = 32,738,663,991.60/209,000.64
  6. Step 6: Final answer
    x = 156,643.85

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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.