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Finding the Fourth Proportional to 142,014.48, 196,808.46 and 140,010

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Solution

The fourth proportional to 142,014.48, 196,808.46 and 140,010 is: 194,030.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,014.48 : 196,808.46 = 140,010 : x
  2. Step 2: Convert to fraction form
    142,014.48/196,808.46 = 140,010/x
  3. Step 3: Cross multiply
    142,014.48x = 196,808.46 × 140,010
  4. Step 4: Simplify right side
    142,014.48x = 27,555,152,484.60
  5. Step 5: Solve for x
    x = 27,555,152,484.60/142,014.48
  6. Step 6: Final answer
    x = 194,030.58

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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.