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Finding the Fourth Proportional to 223,291.29, 308,124.10 and 127,776.09

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Solution

The fourth proportional to 223,291.29, 308,124.10 and 127,776.09 is: 176,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,291.29 : 308,124.10 = 127,776.09 : x
  2. Step 2: Convert to fraction form
    223,291.29/308,124.10 = 127,776.09/x
  3. Step 3: Cross multiply
    223,291.29x = 308,124.10 × 127,776.09
  4. Step 4: Simplify right side
    223,291.29x = 39,370,892,732.77
  5. Step 5: Solve for x
    x = 39,370,892,732.77/223,291.29
  6. Step 6: Final answer
    x = 176,320.77

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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.