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Finding the Fourth Proportional to 205,358.40, 283,242.96 and 129,834

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Solution

The fourth proportional to 205,358.40, 283,242.96 and 129,834 is: 179,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,358.40 : 283,242.96 = 129,834 : x
  2. Step 2: Convert to fraction form
    205,358.40/283,242.96 = 129,834/x
  3. Step 3: Cross multiply
    205,358.40x = 283,242.96 × 129,834
  4. Step 4: Simplify right side
    205,358.40x = 36,774,566,468.64
  5. Step 5: Solve for x
    x = 36,774,566,468.64/205,358.40
  6. Step 6: Final answer
    x = 179,075.05

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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.