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Finding the Fourth Proportional to 280,952, 387,713.76 and 161,720

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Solution

The fourth proportional to 280,952, 387,713.76 and 161,720 is: 223,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,952 : 387,713.76 = 161,720 : x
  2. Step 2: Convert to fraction form
    280,952/387,713.76 = 161,720/x
  3. Step 3: Cross multiply
    280,952x = 387,713.76 × 161,720
  4. Step 4: Simplify right side
    280,952x = 62,701,069,267.20
  5. Step 5: Solve for x
    x = 62,701,069,267.20/280,952
  6. Step 6: Final answer
    x = 223,173.60

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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.