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Finding the Fourth Proportional to 142,014.98, 196,809.16 and 140,010.50

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Solution

The fourth proportional to 142,014.98, 196,809.16 and 140,010.50 is: 194,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,014.98 : 196,809.16 = 140,010.50 : x
  2. Step 2: Convert to fraction form
    142,014.98/196,809.16 = 140,010.50/x
  3. Step 3: Cross multiply
    142,014.98x = 196,809.16 × 140,010.50
  4. Step 4: Simplify right side
    142,014.98x = 27,555,348,196.13
  5. Step 5: Solve for x
    x = 27,555,348,196.13/142,014.98
  6. Step 6: Final answer
    x = 194,031.28

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.