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Finding the Fourth Proportional to 205,295.84, 283,292.10 and 114,644.72

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Solution

The fourth proportional to 205,295.84, 283,292.10 and 114,644.72 is: 158,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,295.84 : 283,292.10 = 114,644.72 : x
  2. Step 2: Convert to fraction form
    205,295.84/283,292.10 = 114,644.72/x
  3. Step 3: Cross multiply
    205,295.84x = 283,292.10 × 114,644.72
  4. Step 4: Simplify right side
    205,295.84x = 32,477,943,482.71
  5. Step 5: Solve for x
    x = 32,477,943,482.71/205,295.84
  6. Step 6: Final answer
    x = 158,200.69

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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.