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Finding the Fourth Proportional to 119,464.66, 164,834.76 and 69,134.50

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Solution

The fourth proportional to 119,464.66, 164,834.76 and 69,134.50 is: 95,390.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,464.66 : 164,834.76 = 69,134.50 : x
  2. Step 2: Convert to fraction form
    119,464.66/164,834.76 = 69,134.50/x
  3. Step 3: Cross multiply
    119,464.66x = 164,834.76 × 69,134.50
  4. Step 4: Simplify right side
    119,464.66x = 11,395,768,715.22
  5. Step 5: Solve for x
    x = 11,395,768,715.22/119,464.66
  6. Step 6: Final answer
    x = 95,390.29

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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.