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Finding the Fourth Proportional to 223,081.29, 307,808.91 and 127,567.71

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Solution

The fourth proportional to 223,081.29, 307,808.91 and 127,567.71 is: 176,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,081.29 : 307,808.91 = 127,567.71 : x
  2. Step 2: Convert to fraction form
    223,081.29/307,808.91 = 127,567.71/x
  3. Step 3: Cross multiply
    223,081.29x = 307,808.91 × 127,567.71
  4. Step 4: Simplify right side
    223,081.29x = 39,266,477,766.30
  5. Step 5: Solve for x
    x = 39,266,477,766.30/223,081.29
  6. Step 6: Final answer
    x = 176,018.70

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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.