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Finding the Fourth Proportional to 153,241.44, 229,866 and 42,434.40

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Solution

The fourth proportional to 153,241.44, 229,866 and 42,434.40 is: 63,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,241.44 : 229,866 = 42,434.40 : x
  2. Step 2: Convert to fraction form
    153,241.44/229,866 = 42,434.40/x
  3. Step 3: Cross multiply
    153,241.44x = 229,866 × 42,434.40
  4. Step 4: Simplify right side
    153,241.44x = 9,754,225,790.40
  5. Step 5: Solve for x
    x = 9,754,225,790.40/153,241.44
  6. Step 6: Final answer
    x = 63,652.66

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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.