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Finding the Fourth Proportional to 98,567.80, 147,924.60 and 65,276.80

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Solution

The fourth proportional to 98,567.80, 147,924.60 and 65,276.80 is: 97,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,567.80 : 147,924.60 = 65,276.80 : x
  2. Step 2: Convert to fraction form
    98,567.80/147,924.60 = 65,276.80/x
  3. Step 3: Cross multiply
    98,567.80x = 147,924.60 × 65,276.80
  4. Step 4: Simplify right side
    98,567.80x = 9,656,044,529.28
  5. Step 5: Solve for x
    x = 9,656,044,529.28/98,567.80
  6. Step 6: Final answer
    x = 97,963.48

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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.