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Finding the Fourth Proportional to 147,634.50, 203,746.56 and 83,992.80

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Solution

The fourth proportional to 147,634.50, 203,746.56 and 83,992.80 is: 115,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,634.50 : 203,746.56 = 83,992.80 : x
  2. Step 2: Convert to fraction form
    147,634.50/203,746.56 = 83,992.80/x
  3. Step 3: Cross multiply
    147,634.50x = 203,746.56 × 83,992.80
  4. Step 4: Simplify right side
    147,634.50x = 17,113,244,064.77
  5. Step 5: Solve for x
    x = 17,113,244,064.77/147,634.50
  6. Step 6: Final answer
    x = 115,916.29

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1.5x scale

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.