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Finding the Fourth Proportional to 211,404.24, 291,830.88 and 147,990.96

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Solution

The fourth proportional to 211,404.24, 291,830.88 and 147,990.96 is: 204,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,404.24 : 291,830.88 = 147,990.96 : x
  2. Step 2: Convert to fraction form
    211,404.24/291,830.88 = 147,990.96/x
  3. Step 3: Cross multiply
    211,404.24x = 291,830.88 × 147,990.96
  4. Step 4: Simplify right side
    211,404.24x = 43,188,332,088.84
  5. Step 5: Solve for x
    x = 43,188,332,088.84/211,404.24
  6. Step 6: Final answer
    x = 204,292.65

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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.