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Finding the Fourth Proportional to 278,015.32, 417,047.50 and 78,337.40

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Solution

The fourth proportional to 278,015.32, 417,047.50 and 78,337.40 is: 117,513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,015.32 : 417,047.50 = 78,337.40 : x
  2. Step 2: Convert to fraction form
    278,015.32/417,047.50 = 78,337.40/x
  3. Step 3: Cross multiply
    278,015.32x = 417,047.50 × 78,337.40
  4. Step 4: Simplify right side
    278,015.32x = 32,670,416,826.50
  5. Step 5: Solve for x
    x = 32,670,416,826.50/278,015.32
  6. Step 6: Final answer
    x = 117,513.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.