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Finding the Fourth Proportional to 98,975.52, 148,288.32 and 65,616.48

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Solution

The fourth proportional to 98,975.52, 148,288.32 and 65,616.48 is: 98,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,975.52 : 148,288.32 = 65,616.48 : x
  2. Step 2: Convert to fraction form
    98,975.52/148,288.32 = 65,616.48/x
  3. Step 3: Cross multiply
    98,975.52x = 148,288.32 × 65,616.48
  4. Step 4: Simplify right side
    98,975.52x = 9,730,157,583.51
  5. Step 5: Solve for x
    x = 9,730,157,583.51/98,975.52
  6. Step 6: Final answer
    x = 98,308.73

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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.