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Finding the Fourth Proportional to 280,002.60, 386,403.78 and 152,678.44

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Solution

The fourth proportional to 280,002.60, 386,403.78 and 152,678.44 is: 210,696.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,002.60 : 386,403.78 = 152,678.44 : x
  2. Step 2: Convert to fraction form
    280,002.60/386,403.78 = 152,678.44/x
  3. Step 3: Cross multiply
    280,002.60x = 386,403.78 × 152,678.44
  4. Step 4: Simplify right side
    280,002.60x = 58,995,526,340.50
  5. Step 5: Solve for x
    x = 58,995,526,340.50/280,002.60
  6. Step 6: Final answer
    x = 210,696.35

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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.