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Finding the Fourth Proportional to 178,054.93, 267,108.71 and 51,678.79

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Solution

The fourth proportional to 178,054.93, 267,108.71 and 51,678.79 is: 77,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,054.93 : 267,108.71 = 51,678.79 : x
  2. Step 2: Convert to fraction form
    178,054.93/267,108.71 = 51,678.79/x
  3. Step 3: Cross multiply
    178,054.93x = 267,108.71 × 51,678.79
  4. Step 4: Simplify right side
    178,054.93x = 13,803,855,507.58
  5. Step 5: Solve for x
    x = 13,803,855,507.58/178,054.93
  6. Step 6: Final answer
    x = 77,525.83

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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.