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Finding the Fourth Proportional to 98,443.80, 147,738.60 and 65,152.80

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Solution

The fourth proportional to 98,443.80, 147,738.60 and 65,152.80 is: 97,777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,443.80 : 147,738.60 = 65,152.80 : x
  2. Step 2: Convert to fraction form
    98,443.80/147,738.60 = 65,152.80/x
  3. Step 3: Cross multiply
    98,443.80x = 147,738.60 × 65,152.80
  4. Step 4: Simplify right side
    98,443.80x = 9,625,583,458.08
  5. Step 5: Solve for x
    x = 9,625,583,458.08/98,443.80
  6. Step 6: Final answer
    x = 97,777.45

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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.