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Finding the Fourth Proportional to 210,248.10, 290,235.69 and 142,363.62

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Solution

The fourth proportional to 210,248.10, 290,235.69 and 142,363.62 is: 196,524.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,248.10 : 290,235.69 = 142,363.62 : x
  2. Step 2: Convert to fraction form
    210,248.10/290,235.69 = 142,363.62/x
  3. Step 3: Cross multiply
    210,248.10x = 290,235.69 × 142,363.62
  4. Step 4: Simplify right side
    210,248.10x = 41,319,003,481.60
  5. Step 5: Solve for x
    x = 41,319,003,481.60/210,248.10
  6. Step 6: Final answer
    x = 196,524.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.