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Finding the Fourth Proportional to 134,156, 185,058.24 and 83,767.52

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Solution

The fourth proportional to 134,156, 185,058.24 and 83,767.52 is: 115,551.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,156 : 185,058.24 = 83,767.52 : x
  2. Step 2: Convert to fraction form
    134,156/185,058.24 = 83,767.52/x
  3. Step 3: Cross multiply
    134,156x = 185,058.24 × 83,767.52
  4. Step 4: Simplify right side
    134,156x = 15,501,869,820.36
  5. Step 5: Solve for x
    x = 15,501,869,820.36/134,156
  6. Step 6: Final answer
    x = 115,551.07

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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.