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Finding the Fourth Proportional to 98,266.64, 147,276.48 and 53,286.32

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Solution

The fourth proportional to 98,266.64, 147,276.48 and 53,286.32 is: 79,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,266.64 : 147,276.48 = 53,286.32 : x
  2. Step 2: Convert to fraction form
    98,266.64/147,276.48 = 53,286.32/x
  3. Step 3: Cross multiply
    98,266.64x = 147,276.48 × 53,286.32
  4. Step 4: Simplify right side
    98,266.64x = 7,847,821,641.75
  5. Step 5: Solve for x
    x = 7,847,821,641.75/98,266.64
  6. Step 6: Final answer
    x = 79,862.52

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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.