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Finding the Fourth Proportional to 178,007.84, 266,924.64 and 72,798.56

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Solution

The fourth proportional to 178,007.84, 266,924.64 and 72,798.56 is: 109,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,007.84 : 266,924.64 = 72,798.56 : x
  2. Step 2: Convert to fraction form
    178,007.84/266,924.64 = 72,798.56/x
  3. Step 3: Cross multiply
    178,007.84x = 266,924.64 × 72,798.56
  4. Step 4: Simplify right side
    178,007.84x = 19,431,729,420.52
  5. Step 5: Solve for x
    x = 19,431,729,420.52/178,007.84
  6. Step 6: Final answer
    x = 109,162.21

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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.