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Finding the Fourth Proportional to 209,223.84, 313,717.62 and 191,370.76

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Solution

The fourth proportional to 209,223.84, 313,717.62 and 191,370.76 is: 286,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,223.84 : 313,717.62 = 191,370.76 : x
  2. Step 2: Convert to fraction form
    209,223.84/313,717.62 = 191,370.76/x
  3. Step 3: Cross multiply
    209,223.84x = 313,717.62 × 191,370.76
  4. Step 4: Simplify right side
    209,223.84x = 60,036,379,364.79
  5. Step 5: Solve for x
    x = 60,036,379,364.79/209,223.84
  6. Step 6: Final answer
    x = 286,948.08

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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.