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Finding the Fourth Proportional to 211,101.50, 291,320.52 and 114,306.41

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Solution

The fourth proportional to 211,101.50, 291,320.52 and 114,306.41 is: 157,743.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,101.50 : 291,320.52 = 114,306.41 : x
  2. Step 2: Convert to fraction form
    211,101.50/291,320.52 = 114,306.41/x
  3. Step 3: Cross multiply
    211,101.50x = 291,320.52 × 114,306.41
  4. Step 4: Simplify right side
    211,101.50x = 33,299,803,100.19
  5. Step 5: Solve for x
    x = 33,299,803,100.19/211,101.50
  6. Step 6: Final answer
    x = 157,743.09

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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.