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Finding the Fourth Proportional to 144,393.10, 199,182.49 and 83,957.06

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Solution

The fourth proportional to 144,393.10, 199,182.49 and 83,957.06 is: 115,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,393.10 : 199,182.49 = 83,957.06 : x
  2. Step 2: Convert to fraction form
    144,393.10/199,182.49 = 83,957.06/x
  3. Step 3: Cross multiply
    144,393.10x = 199,182.49 × 83,957.06
  4. Step 4: Simplify right side
    144,393.10x = 16,722,776,551.94
  5. Step 5: Solve for x
    x = 16,722,776,551.94/144,393.10
  6. Step 6: Final answer
    x = 115,814.24

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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.