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Finding the Fourth Proportional to 98,566.80, 147,923.10 and 65,275.80

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Solution

The fourth proportional to 98,566.80, 147,923.10 and 65,275.80 is: 97,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,566.80 : 147,923.10 = 65,275.80 : x
  2. Step 2: Convert to fraction form
    98,566.80/147,923.10 = 65,275.80/x
  3. Step 3: Cross multiply
    98,566.80x = 147,923.10 × 65,275.80
  4. Step 4: Simplify right side
    98,566.80x = 9,655,798,690.98
  5. Step 5: Solve for x
    x = 9,655,798,690.98/98,566.80
  6. Step 6: Final answer
    x = 97,961.98

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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.