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Finding the Fourth Proportional to 225,258.86, 310,732.44 and 144,595.82

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Solution

The fourth proportional to 225,258.86, 310,732.44 and 144,595.82 is: 199,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,258.86 : 310,732.44 = 144,595.82 : x
  2. Step 2: Convert to fraction form
    225,258.86/310,732.44 = 144,595.82/x
  3. Step 3: Cross multiply
    225,258.86x = 310,732.44 × 144,595.82
  4. Step 4: Simplify right side
    225,258.86x = 44,930,610,408.74
  5. Step 5: Solve for x
    x = 44,930,610,408.74/225,258.86
  6. Step 6: Final answer
    x = 199,462.13

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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.