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Finding the Fourth Proportional to 119,377.68, 164,977.48 and 97,833.45

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Solution

The fourth proportional to 119,377.68, 164,977.48 and 97,833.45 is: 135,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,377.68 : 164,977.48 = 97,833.45 : x
  2. Step 2: Convert to fraction form
    119,377.68/164,977.48 = 97,833.45/x
  3. Step 3: Cross multiply
    119,377.68x = 164,977.48 × 97,833.45
  4. Step 4: Simplify right side
    119,377.68x = 16,140,316,708.82
  5. Step 5: Solve for x
    x = 16,140,316,708.82/119,377.68
  6. Step 6: Final answer
    x = 135,203.81

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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.