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Finding the Fourth Proportional to 211,141.71, 291,294.50 and 120,502.71

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Solution

The fourth proportional to 211,141.71, 291,294.50 and 120,502.71 is: 166,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,141.71 : 291,294.50 = 120,502.71 : x
  2. Step 2: Convert to fraction form
    211,141.71/291,294.50 = 120,502.71/x
  3. Step 3: Cross multiply
    211,141.71x = 291,294.50 × 120,502.71
  4. Step 4: Simplify right side
    211,141.71x = 35,101,776,055.58
  5. Step 5: Solve for x
    x = 35,101,776,055.58/211,141.71
  6. Step 6: Final answer
    x = 166,247.47

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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.