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Finding the Fourth Proportional to 109,332, 164,008.13 and 50,159.07

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Solution

The fourth proportional to 109,332, 164,008.13 and 50,159.07 is: 75,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,332 : 164,008.13 = 50,159.07 : x
  2. Step 2: Convert to fraction form
    109,332/164,008.13 = 50,159.07/x
  3. Step 3: Cross multiply
    109,332x = 164,008.13 × 50,159.07
  4. Step 4: Simplify right side
    109,332x = 8,226,495,022.44
  5. Step 5: Solve for x
    x = 8,226,495,022.44/109,332
  6. Step 6: Final answer
    x = 75,243.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.