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Finding the Fourth Proportional to 202,026.14, 278,798.05 and 111,385.65

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Solution

The fourth proportional to 202,026.14, 278,798.05 and 111,385.65 is: 153,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,026.14 : 278,798.05 = 111,385.65 : x
  2. Step 2: Convert to fraction form
    202,026.14/278,798.05 = 111,385.65/x
  3. Step 3: Cross multiply
    202,026.14x = 278,798.05 × 111,385.65
  4. Step 4: Simplify right side
    202,026.14x = 31,054,102,017.98
  5. Step 5: Solve for x
    x = 31,054,102,017.98/202,026.14
  6. Step 6: Final answer
    x = 153,713.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.