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Finding the Fourth Proportional to 176,486.65, 264,686.77 and 82,898.17

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Solution

The fourth proportional to 176,486.65, 264,686.77 and 82,898.17 is: 124,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,486.65 : 264,686.77 = 82,898.17 : x
  2. Step 2: Convert to fraction form
    176,486.65/264,686.77 = 82,898.17/x
  3. Step 3: Cross multiply
    176,486.65x = 264,686.77 × 82,898.17
  4. Step 4: Simplify right side
    176,486.65x = 21,942,048,298.12
  5. Step 5: Solve for x
    x = 21,942,048,298.12/176,486.65
  6. Step 6: Final answer
    x = 124,326.96

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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.