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Finding the Fourth Proportional to 242,561.70, 364,058.55 and 142,596.90

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Solution

The fourth proportional to 242,561.70, 364,058.55 and 142,596.90 is: 214,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,561.70 : 364,058.55 = 142,596.90 : x
  2. Step 2: Convert to fraction form
    242,561.70/364,058.55 = 142,596.90/x
  3. Step 3: Cross multiply
    242,561.70x = 364,058.55 × 142,596.90
  4. Step 4: Simplify right side
    242,561.70x = 51,913,620,648.50
  5. Step 5: Solve for x
    x = 51,913,620,648.50/242,561.70
  6. Step 6: Final answer
    x = 214,022.33

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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.