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Finding the Fourth Proportional to 235,266.57, 352,701.45 and 102,046.48

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Solution

The fourth proportional to 235,266.57, 352,701.45 and 102,046.48 is: 152,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,266.57 : 352,701.45 = 102,046.48 : x
  2. Step 2: Convert to fraction form
    235,266.57/352,701.45 = 102,046.48/x
  3. Step 3: Cross multiply
    235,266.57x = 352,701.45 × 102,046.48
  4. Step 4: Simplify right side
    235,266.57x = 35,991,941,463.40
  5. Step 5: Solve for x
    x = 35,991,941,463.40/235,266.57
  6. Step 6: Final answer
    x = 152,983.66

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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.