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Finding the Fourth Proportional to 119,421.98, 164,733.89 and 74,632.22

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Solution

The fourth proportional to 119,421.98, 164,733.89 and 74,632.22 is: 102,949.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,421.98 : 164,733.89 = 74,632.22 : x
  2. Step 2: Convert to fraction form
    119,421.98/164,733.89 = 74,632.22/x
  3. Step 3: Cross multiply
    119,421.98x = 164,733.89 × 74,632.22
  4. Step 4: Simplify right side
    119,421.98x = 12,294,455,340.86
  5. Step 5: Solve for x
    x = 12,294,455,340.86/119,421.98
  6. Step 6: Final answer
    x = 102,949.69

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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.