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Finding the Fourth Proportional to 97,281.54, 134,238.69 and 71,801.82

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Solution

The fourth proportional to 97,281.54, 134,238.69 and 71,801.82 is: 99,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,281.54 : 134,238.69 = 71,801.82 : x
  2. Step 2: Convert to fraction form
    97,281.54/134,238.69 = 71,801.82/x
  3. Step 3: Cross multiply
    97,281.54x = 134,238.69 × 71,801.82
  4. Step 4: Simplify right side
    97,281.54x = 9,638,582,256.42
  5. Step 5: Solve for x
    x = 9,638,582,256.42/97,281.54
  6. Step 6: Final answer
    x = 99,079.25

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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.