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Finding the Fourth Proportional to 226,641.16, 312,775.86 and 126,037

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Solution

The fourth proportional to 226,641.16, 312,775.86 and 126,037 is: 173,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,641.16 : 312,775.86 = 126,037 : x
  2. Step 2: Convert to fraction form
    226,641.16/312,775.86 = 126,037/x
  3. Step 3: Cross multiply
    226,641.16x = 312,775.86 × 126,037
  4. Step 4: Simplify right side
    226,641.16x = 39,421,331,066.82
  5. Step 5: Solve for x
    x = 39,421,331,066.82/226,641.16
  6. Step 6: Final answer
    x = 173,937.21

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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.