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Finding the Fourth Proportional to 205,006.32, 282,903.84 and 114,371.04

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Solution

The fourth proportional to 205,006.32, 282,903.84 and 114,371.04 is: 157,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,006.32 : 282,903.84 = 114,371.04 : x
  2. Step 2: Convert to fraction form
    205,006.32/282,903.84 = 114,371.04/x
  3. Step 3: Cross multiply
    205,006.32x = 282,903.84 × 114,371.04
  4. Step 4: Simplify right side
    205,006.32x = 32,356,006,400.79
  5. Step 5: Solve for x
    x = 32,356,006,400.79/205,006.32
  6. Step 6: Final answer
    x = 157,829.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.