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Finding the Fourth Proportional to 358,878.04, 538,395.89 and 106,138.83

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Solution

The fourth proportional to 358,878.04, 538,395.89 and 106,138.83 is: 159,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,878.04 : 538,395.89 = 106,138.83 : x
  2. Step 2: Convert to fraction form
    358,878.04/538,395.89 = 106,138.83/x
  3. Step 3: Cross multiply
    358,878.04x = 538,395.89 × 106,138.83
  4. Step 4: Simplify right side
    358,878.04x = 57,144,709,841.41
  5. Step 5: Solve for x
    x = 57,144,709,841.41/358,878.04
  6. Step 6: Final answer
    x = 159,231.56

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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.