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Finding the Fourth Proportional to 119,283.93, 164,608.14 and 65,568.78

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Solution

The fourth proportional to 119,283.93, 164,608.14 and 65,568.78 is: 90,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,283.93 : 164,608.14 = 65,568.78 : x
  2. Step 2: Convert to fraction form
    119,283.93/164,608.14 = 65,568.78/x
  3. Step 3: Cross multiply
    119,283.93x = 164,608.14 × 65,568.78
  4. Step 4: Simplify right side
    119,283.93x = 10,793,154,917.87
  5. Step 5: Solve for x
    x = 10,793,154,917.87/119,283.93
  6. Step 6: Final answer
    x = 90,482.89

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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.