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Finding the Fourth Proportional to 280,243.20, 386,728.32 and 152,920.32

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Solution

The fourth proportional to 280,243.20, 386,728.32 and 152,920.32 is: 211,026.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,243.20 : 386,728.32 = 152,920.32 : x
  2. Step 2: Convert to fraction form
    280,243.20/386,728.32 = 152,920.32/x
  3. Step 3: Cross multiply
    280,243.20x = 386,728.32 × 152,920.32
  4. Step 4: Simplify right side
    280,243.20x = 59,138,618,447.46
  5. Step 5: Solve for x
    x = 59,138,618,447.46/280,243.20
  6. Step 6: Final answer
    x = 211,026.06

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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.