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Finding the Fourth Proportional to 119,051.92, 164,291.51 and 65,337.08

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Solution

The fourth proportional to 119,051.92, 164,291.51 and 65,337.08 is: 90,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,051.92 : 164,291.51 = 65,337.08 : x
  2. Step 2: Convert to fraction form
    119,051.92/164,291.51 = 65,337.08/x
  3. Step 3: Cross multiply
    119,051.92x = 164,291.51 × 65,337.08
  4. Step 4: Simplify right side
    119,051.92x = 10,734,326,874.08
  5. Step 5: Solve for x
    x = 10,734,326,874.08/119,051.92
  6. Step 6: Final answer
    x = 90,165.09

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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.