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Finding the Fourth Proportional to 202,226.19, 279,077.98 and 111,587.99

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Solution

The fourth proportional to 202,226.19, 279,077.98 and 111,587.99 is: 153,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,226.19 : 279,077.98 = 111,587.99 : x
  2. Step 2: Convert to fraction form
    202,226.19/279,077.98 = 111,587.99/x
  3. Step 3: Cross multiply
    202,226.19x = 279,077.98 × 111,587.99
  4. Step 4: Simplify right side
    202,226.19x = 31,141,750,828.38
  5. Step 5: Solve for x
    x = 31,141,750,828.38/202,226.19
  6. Step 6: Final answer
    x = 153,994.65

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Why These Related Problems?

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