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Finding the Fourth Proportional to 164,707.32, 247,154.39 and 75,960.86

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Solution

The fourth proportional to 164,707.32, 247,154.39 and 75,960.86 is: 113,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,707.32 : 247,154.39 = 75,960.86 : x
  2. Step 2: Convert to fraction form
    164,707.32/247,154.39 = 75,960.86/x
  3. Step 3: Cross multiply
    164,707.32x = 247,154.39 × 75,960.86
  4. Step 4: Simplify right side
    164,707.32x = 18,774,058,686.45
  5. Step 5: Solve for x
    x = 18,774,058,686.45/164,707.32
  6. Step 6: Final answer
    x = 113,984.36

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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.