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Finding the Fourth Proportional to 210,920.86, 291,206.63 and 188,220.81

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Solution

The fourth proportional to 210,920.86, 291,206.63 and 188,220.81 is: 259,865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,920.86 : 291,206.63 = 188,220.81 : x
  2. Step 2: Convert to fraction form
    210,920.86/291,206.63 = 188,220.81/x
  3. Step 3: Cross multiply
    210,920.86x = 291,206.63 × 188,220.81
  4. Step 4: Simplify right side
    210,920.86x = 54,811,146,834.87
  5. Step 5: Solve for x
    x = 54,811,146,834.87/210,920.86
  6. Step 6: Final answer
    x = 259,865.94

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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.