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Finding the Fourth Proportional to 358,811.60, 538,120.20 and 106,091.60

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Solution

The fourth proportional to 358,811.60, 538,120.20 and 106,091.60 is: 159,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,811.60 : 538,120.20 = 106,091.60 : x
  2. Step 2: Convert to fraction form
    358,811.60/538,120.20 = 106,091.60/x
  3. Step 3: Cross multiply
    358,811.60x = 538,120.20 × 106,091.60
  4. Step 4: Simplify right side
    358,811.60x = 57,090,033,010.32
  5. Step 5: Solve for x
    x = 57,090,033,010.32/358,811.60
  6. Step 6: Final answer
    x = 159,108.66

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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.