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Finding the Fourth Proportional to 144,215.78, 199,059.80 and 83,813.54

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Solution

The fourth proportional to 144,215.78, 199,059.80 and 83,813.54 is: 115,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,215.78 : 199,059.80 = 83,813.54 : x
  2. Step 2: Convert to fraction form
    144,215.78/199,059.80 = 83,813.54/x
  3. Step 3: Cross multiply
    144,215.78x = 199,059.80 × 83,813.54
  4. Step 4: Simplify right side
    144,215.78x = 16,683,905,095.33
  5. Step 5: Solve for x
    x = 16,683,905,095.33/144,215.78
  6. Step 6: Final answer
    x = 115,687.10

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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.