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Finding the Fourth Proportional to 97,252, 134,207.76 and 52,540

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Solution

The fourth proportional to 97,252, 134,207.76 and 52,540 is: 72,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,252 : 134,207.76 = 52,540 : x
  2. Step 2: Convert to fraction form
    97,252/134,207.76 = 52,540/x
  3. Step 3: Cross multiply
    97,252x = 134,207.76 × 52,540
  4. Step 4: Simplify right side
    97,252x = 7,051,275,710.40
  5. Step 5: Solve for x
    x = 7,051,275,710.40/97,252
  6. Step 6: Final answer
    x = 72,505.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.