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Finding the Fourth Proportional to 235,114, 352,325.31 and 138,952.24

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Solution

The fourth proportional to 235,114, 352,325.31 and 138,952.24 is: 208,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,114 : 352,325.31 = 138,952.24 : x
  2. Step 2: Convert to fraction form
    235,114/352,325.31 = 138,952.24/x
  3. Step 3: Cross multiply
    235,114x = 352,325.31 × 138,952.24
  4. Step 4: Simplify right side
    235,114x = 48,956,391,033.19
  5. Step 5: Solve for x
    x = 48,956,391,033.19/235,114
  6. Step 6: Final answer
    x = 208,224.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.