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Finding the Fourth Proportional to 233,736.76, 322,769.17 and 176,277.66

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Solution

The fourth proportional to 233,736.76, 322,769.17 and 176,277.66 is: 243,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,736.76 : 322,769.17 = 176,277.66 : x
  2. Step 2: Convert to fraction form
    233,736.76/322,769.17 = 176,277.66/x
  3. Step 3: Cross multiply
    233,736.76x = 322,769.17 × 176,277.66
  4. Step 4: Simplify right side
    233,736.76x = 56,896,994,007.74
  5. Step 5: Solve for x
    x = 56,896,994,007.74/233,736.76
  6. Step 6: Final answer
    x = 243,423.39

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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.