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Finding the Fourth Proportional to 211,064.53, 291,269.52 and 114,269.40

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Solution

The fourth proportional to 211,064.53, 291,269.52 and 114,269.40 is: 157,692.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,064.53 : 291,269.52 = 114,269.40 : x
  2. Step 2: Convert to fraction form
    211,064.53/291,269.52 = 114,269.40/x
  3. Step 3: Cross multiply
    211,064.53x = 291,269.52 × 114,269.40
  4. Step 4: Simplify right side
    211,064.53x = 33,283,193,288.69
  5. Step 5: Solve for x
    x = 33,283,193,288.69/211,064.53
  6. Step 6: Final answer
    x = 157,692.03

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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.