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Finding the Fourth Proportional to 176,678.48, 243,774.12 and 119,424.56

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Solution

The fourth proportional to 176,678.48, 243,774.12 and 119,424.56 is: 164,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,678.48 : 243,774.12 = 119,424.56 : x
  2. Step 2: Convert to fraction form
    176,678.48/243,774.12 = 119,424.56/x
  3. Step 3: Cross multiply
    176,678.48x = 243,774.12 × 119,424.56
  4. Step 4: Simplify right side
    176,678.48x = 29,112,617,020.39
  5. Step 5: Solve for x
    x = 29,112,617,020.39/176,678.48
  6. Step 6: Final answer
    x = 164,777.38

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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.