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Finding the Fourth Proportional to 97,257, 134,214.66 and 52,545

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Solution

The fourth proportional to 97,257, 134,214.66 and 52,545 is: 72,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,257 : 134,214.66 = 52,545 : x
  2. Step 2: Convert to fraction form
    97,257/134,214.66 = 52,545/x
  3. Step 3: Cross multiply
    97,257x = 134,214.66 × 52,545
  4. Step 4: Simplify right side
    97,257x = 7,052,309,309.70
  5. Step 5: Solve for x
    x = 7,052,309,309.70/97,257
  6. Step 6: Final answer
    x = 72,512.10

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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.