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Finding the Fourth Proportional to 97,461.65, 146,204.76 and 34,266.92

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Solution

The fourth proportional to 97,461.65, 146,204.76 and 34,266.92 is: 51,404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,461.65 : 146,204.76 = 34,266.92 : x
  2. Step 2: Convert to fraction form
    97,461.65/146,204.76 = 34,266.92/x
  3. Step 3: Cross multiply
    97,461.65x = 146,204.76 × 34,266.92
  4. Step 4: Simplify right side
    97,461.65x = 5,009,986,083.52
  5. Step 5: Solve for x
    x = 5,009,986,083.52/97,461.65
  6. Step 6: Final answer
    x = 51,404.69

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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.