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Finding the Fourth Proportional to 293,159.17, 439,740.51 and 82,798.93

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Solution

The fourth proportional to 293,159.17, 439,740.51 and 82,798.93 is: 124,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,159.17 : 439,740.51 = 82,798.93 : x
  2. Step 2: Convert to fraction form
    293,159.17/439,740.51 = 82,798.93/x
  3. Step 3: Cross multiply
    293,159.17x = 439,740.51 × 82,798.93
  4. Step 4: Simplify right side
    293,159.17x = 36,410,043,705.65
  5. Step 5: Solve for x
    x = 36,410,043,705.65/293,159.17
  6. Step 6: Final answer
    x = 124,198.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.