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Finding the Fourth Proportional to 407,140.06, 610,752.05 and 140,900.14

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Solution

The fourth proportional to 407,140.06, 610,752.05 and 140,900.14 is: 211,364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,140.06 : 610,752.05 = 140,900.14 : x
  2. Step 2: Convert to fraction form
    407,140.06/610,752.05 = 140,900.14/x
  3. Step 3: Cross multiply
    407,140.06x = 610,752.05 × 140,900.14
  4. Step 4: Simplify right side
    407,140.06x = 86,055,049,350.29
  5. Step 5: Solve for x
    x = 86,055,049,350.29/407,140.06
  6. Step 6: Final answer
    x = 211,364.73

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Why These Related Problems?

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