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Finding the Fourth Proportional to 358,730.80, 538,167.12 and 106,015.84

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Solution

The fourth proportional to 358,730.80, 538,167.12 and 106,015.84 is: 159,044.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,730.80 : 538,167.12 = 106,015.84 : x
  2. Step 2: Convert to fraction form
    358,730.80/538,167.12 = 106,015.84/x
  3. Step 3: Cross multiply
    358,730.80x = 538,167.12 × 106,015.84
  4. Step 4: Simplify right side
    358,730.80x = 57,054,239,287.18
  5. Step 5: Solve for x
    x = 57,054,239,287.18/358,730.80
  6. Step 6: Final answer
    x = 159,044.72

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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.