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Finding the Fourth Proportional to 135,498.69, 203,210.77 and 56,599.83

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Solution

The fourth proportional to 135,498.69, 203,210.77 and 56,599.83 is: 84,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,498.69 : 203,210.77 = 56,599.83 : x
  2. Step 2: Convert to fraction form
    135,498.69/203,210.77 = 56,599.83/x
  3. Step 3: Cross multiply
    135,498.69x = 203,210.77 × 56,599.83
  4. Step 4: Simplify right side
    135,498.69x = 11,501,695,036.17
  5. Step 5: Solve for x
    x = 11,501,695,036.17/135,498.69
  6. Step 6: Final answer
    x = 84,884.18

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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.