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Finding the Fourth Proportional to 98,762.94, 148,103.28 and 61,266.78

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Solution

The fourth proportional to 98,762.94, 148,103.28 and 61,266.78 is: 91,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,762.94 : 148,103.28 = 61,266.78 : x
  2. Step 2: Convert to fraction form
    98,762.94/148,103.28 = 61,266.78/x
  3. Step 3: Cross multiply
    98,762.94x = 148,103.28 × 61,266.78
  4. Step 4: Simplify right side
    98,762.94x = 9,073,811,073.04
  5. Step 5: Solve for x
    x = 9,073,811,073.04/98,762.94
  6. Step 6: Final answer
    x = 91,874.66

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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.