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Finding the Fourth Proportional to 119,448.06, 164,769.75 and 74,658.30

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Solution

The fourth proportional to 119,448.06, 164,769.75 and 74,658.30 is: 102,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,448.06 : 164,769.75 = 74,658.30 : x
  2. Step 2: Convert to fraction form
    119,448.06/164,769.75 = 74,658.30/x
  3. Step 3: Cross multiply
    119,448.06x = 164,769.75 × 74,658.30
  4. Step 4: Simplify right side
    119,448.06x = 12,301,429,426.43
  5. Step 5: Solve for x
    x = 12,301,429,426.43/119,448.06
  6. Step 6: Final answer
    x = 102,985.59

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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.