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Finding the Fourth Proportional to 143,460, 215,224.56 and 44,964

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Solution

The fourth proportional to 143,460, 215,224.56 and 44,964 is: 67,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,460 : 215,224.56 = 44,964 : x
  2. Step 2: Convert to fraction form
    143,460/215,224.56 = 44,964/x
  3. Step 3: Cross multiply
    143,460x = 215,224.56 × 44,964
  4. Step 4: Simplify right side
    143,460x = 9,677,357,115.84
  5. Step 5: Solve for x
    x = 9,677,357,115.84/143,460
  6. Step 6: Final answer
    x = 67,456.83

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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.