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Finding the Fourth Proportional to 97,343.70, 146,064.15 and 55,256.10

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Solution

The fourth proportional to 97,343.70, 146,064.15 and 55,256.10 is: 82,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,343.70 : 146,064.15 = 55,256.10 : x
  2. Step 2: Convert to fraction form
    97,343.70/146,064.15 = 55,256.10/x
  3. Step 3: Cross multiply
    97,343.70x = 146,064.15 × 55,256.10
  4. Step 4: Simplify right side
    97,343.70x = 8,070,935,278.82
  5. Step 5: Solve for x
    x = 8,070,935,278.82/97,343.70
  6. Step 6: Final answer
    x = 82,911.74

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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.