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Finding the Fourth Proportional to 119,460.57, 164,851.65 and 71,685.69

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Solution

The fourth proportional to 119,460.57, 164,851.65 and 71,685.69 is: 98,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,460.57 : 164,851.65 = 71,685.69 : x
  2. Step 2: Convert to fraction form
    119,460.57/164,851.65 = 71,685.69/x
  3. Step 3: Cross multiply
    119,460.57x = 164,851.65 × 71,685.69
  4. Step 4: Simplify right side
    119,460.57x = 11,817,504,277.89
  5. Step 5: Solve for x
    x = 11,817,504,277.89/119,460.57
  6. Step 6: Final answer
    x = 98,923.89

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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.