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Finding the Fourth Proportional to 280,140.32, 386,591.15 and 152,813.18

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Solution

The fourth proportional to 280,140.32, 386,591.15 and 152,813.18 is: 210,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,140.32 : 386,591.15 = 152,813.18 : x
  2. Step 2: Convert to fraction form
    280,140.32/386,591.15 = 152,813.18/x
  3. Step 3: Cross multiply
    280,140.32x = 386,591.15 × 152,813.18
  4. Step 4: Simplify right side
    280,140.32x = 59,076,222,991.36
  5. Step 5: Solve for x
    x = 59,076,222,991.36/280,140.32
  6. Step 6: Final answer
    x = 210,880.83

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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.