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Finding the Fourth Proportional to 97,340.68, 146,135.56 and 82,642.98

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Solution

The fourth proportional to 97,340.68, 146,135.56 and 82,642.98 is: 124,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,340.68 : 146,135.56 = 82,642.98 : x
  2. Step 2: Convert to fraction form
    97,340.68/146,135.56 = 82,642.98/x
  3. Step 3: Cross multiply
    97,340.68x = 146,135.56 × 82,642.98
  4. Step 4: Simplify right side
    97,340.68x = 12,077,078,162.37
  5. Step 5: Solve for x
    x = 12,077,078,162.37/97,340.68
  6. Step 6: Final answer
    x = 124,070.21

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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.