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Finding the Fourth Proportional to 140,352, 210,564.48 and 41,856

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Solution

The fourth proportional to 140,352, 210,564.48 and 41,856 is: 62,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,352 : 210,564.48 = 41,856 : x
  2. Step 2: Convert to fraction form
    140,352/210,564.48 = 41,856/x
  3. Step 3: Cross multiply
    140,352x = 210,564.48 × 41,856
  4. Step 4: Simplify right side
    140,352x = 8,813,386,874.88
  5. Step 5: Solve for x
    x = 8,813,386,874.88/140,352
  6. Step 6: Final answer
    x = 62,794.88

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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.