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Finding the Fourth Proportional to 106,093.38, 159,089.02 and 61,730.08

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Solution

The fourth proportional to 106,093.38, 159,089.02 and 61,730.08 is: 92,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,093.38 : 159,089.02 = 61,730.08 : x
  2. Step 2: Convert to fraction form
    106,093.38/159,089.02 = 61,730.08/x
  3. Step 3: Cross multiply
    106,093.38x = 159,089.02 × 61,730.08
  4. Step 4: Simplify right side
    106,093.38x = 9,820,577,931.72
  5. Step 5: Solve for x
    x = 9,820,577,931.72/106,093.38
  6. Step 6: Final answer
    x = 92,565.42

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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.