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Finding the Fourth Proportional to 112,095.54, 154,747.07 and 77,666.38

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Solution

The fourth proportional to 112,095.54, 154,747.07 and 77,666.38 is: 107,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,095.54 : 154,747.07 = 77,666.38 : x
  2. Step 2: Convert to fraction form
    112,095.54/154,747.07 = 77,666.38/x
  3. Step 3: Cross multiply
    112,095.54x = 154,747.07 × 77,666.38
  4. Step 4: Simplify right side
    112,095.54x = 12,018,645,565.88
  5. Step 5: Solve for x
    x = 12,018,645,565.88/112,095.54
  6. Step 6: Final answer
    x = 107,217.87

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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.