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Finding the Fourth Proportional to 176,580, 264,695.04 and 82,918.08

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Solution

The fourth proportional to 176,580, 264,695.04 and 82,918.08 is: 124,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,580 : 264,695.04 = 82,918.08 : x
  2. Step 2: Convert to fraction form
    176,580/264,695.04 = 82,918.08/x
  3. Step 3: Cross multiply
    176,580x = 264,695.04 × 82,918.08
  4. Step 4: Simplify right side
    176,580x = 21,948,004,502.32
  5. Step 5: Solve for x
    x = 21,948,004,502.32/176,580
  6. Step 6: Final answer
    x = 124,294.96

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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.