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Finding the Fourth Proportional to 119,384.83, 164,763.14 and 68,404.32

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Solution

The fourth proportional to 119,384.83, 164,763.14 and 68,404.32 is: 94,404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,384.83 : 164,763.14 = 68,404.32 : x
  2. Step 2: Convert to fraction form
    119,384.83/164,763.14 = 68,404.32/x
  3. Step 3: Cross multiply
    119,384.83x = 164,763.14 × 68,404.32
  4. Step 4: Simplify right side
    119,384.83x = 11,270,510,552.76
  5. Step 5: Solve for x
    x = 11,270,510,552.76/119,384.83
  6. Step 6: Final answer
    x = 94,404.88

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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.