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Finding the Fourth Proportional to 140,210.40, 210,315.56 and 41,714.40

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Solution

The fourth proportional to 140,210.40, 210,315.56 and 41,714.40 is: 62,571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,210.40 : 210,315.56 = 41,714.40 : x
  2. Step 2: Convert to fraction form
    140,210.40/210,315.56 = 41,714.40/x
  3. Step 3: Cross multiply
    140,210.40x = 210,315.56 × 41,714.40
  4. Step 4: Simplify right side
    140,210.40x = 8,773,187,396.06
  5. Step 5: Solve for x
    x = 8,773,187,396.06/140,210.40
  6. Step 6: Final answer
    x = 62,571.59

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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.