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Finding the Fourth Proportional to 98,643.20, 147,867.60 and 48,682.40

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Solution

The fourth proportional to 98,643.20, 147,867.60 and 48,682.40 is: 72,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,643.20 : 147,867.60 = 48,682.40 : x
  2. Step 2: Convert to fraction form
    98,643.20/147,867.60 = 48,682.40/x
  3. Step 3: Cross multiply
    98,643.20x = 147,867.60 × 48,682.40
  4. Step 4: Simplify right side
    98,643.20x = 7,198,549,650.24
  5. Step 5: Solve for x
    x = 7,198,549,650.24/98,643.20
  6. Step 6: Final answer
    x = 72,975.63

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Why These Related Problems?

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