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Finding the Fourth Proportional to 140,280.98, 210,422.04 and 35,099.66

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Solution

The fourth proportional to 140,280.98, 210,422.04 and 35,099.66 is: 52,649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,280.98 : 210,422.04 = 35,099.66 : x
  2. Step 2: Convert to fraction form
    140,280.98/210,422.04 = 35,099.66/x
  3. Step 3: Cross multiply
    140,280.98x = 210,422.04 × 35,099.66
  4. Step 4: Simplify right side
    140,280.98x = 7,385,742,060.51
  5. Step 5: Solve for x
    x = 7,385,742,060.51/140,280.98
  6. Step 6: Final answer
    x = 52,649.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.