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Finding the Fourth Proportional to 134,490.76, 185,723.22 and 84,277.24

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Solution

The fourth proportional to 134,490.76, 185,723.22 and 84,277.24 is: 116,381.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,490.76 : 185,723.22 = 84,277.24 : x
  2. Step 2: Convert to fraction form
    134,490.76/185,723.22 = 84,277.24/x
  3. Step 3: Cross multiply
    134,490.76x = 185,723.22 × 84,277.24
  4. Step 4: Simplify right side
    134,490.76x = 15,652,240,385.51
  5. Step 5: Solve for x
    x = 15,652,240,385.51/134,490.76
  6. Step 6: Final answer
    x = 116,381.53

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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.