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Finding the Fourth Proportional to 133,368, 200,053.92 and 34,872

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Solution

The fourth proportional to 133,368, 200,053.92 and 34,872 is: 52,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,368 : 200,053.92 = 34,872 : x
  2. Step 2: Convert to fraction form
    133,368/200,053.92 = 34,872/x
  3. Step 3: Cross multiply
    133,368x = 200,053.92 × 34,872
  4. Step 4: Simplify right side
    133,368x = 6,976,280,298.24
  5. Step 5: Solve for x
    x = 6,976,280,298.24/133,368
  6. Step 6: Final answer
    x = 52,308.50

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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.