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Finding the Fourth Proportional to 202,267.44, 303,587.50 and 102,498.32

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Solution

The fourth proportional to 202,267.44, 303,587.50 and 102,498.32 is: 153,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,267.44 : 303,587.50 = 102,498.32 : x
  2. Step 2: Convert to fraction form
    202,267.44/303,587.50 = 102,498.32/x
  3. Step 3: Cross multiply
    202,267.44x = 303,587.50 × 102,498.32
  4. Step 4: Simplify right side
    202,267.44x = 31,117,208,723.00
  5. Step 5: Solve for x
    x = 31,117,208,723.00/202,267.44
  6. Step 6: Final answer
    x = 153,841.91

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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.