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Finding the Fourth Proportional to 119,385.94, 164,820.64 and 79,154.14

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Solution

The fourth proportional to 119,385.94, 164,820.64 and 79,154.14 is: 109,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,385.94 : 164,820.64 = 79,154.14 : x
  2. Step 2: Convert to fraction form
    119,385.94/164,820.64 = 79,154.14/x
  3. Step 3: Cross multiply
    119,385.94x = 164,820.64 × 79,154.14
  4. Step 4: Simplify right side
    119,385.94x = 13,046,235,063.48
  5. Step 5: Solve for x
    x = 13,046,235,063.48/119,385.94
  6. Step 6: Final answer
    x = 109,277.82

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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.