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Finding the Fourth Proportional to 243,442.53, 364,619.28 and 140,734.01

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Solution

The fourth proportional to 243,442.53, 364,619.28 and 140,734.01 is: 210,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,442.53 : 364,619.28 = 140,734.01 : x
  2. Step 2: Convert to fraction form
    243,442.53/364,619.28 = 140,734.01/x
  3. Step 3: Cross multiply
    243,442.53x = 364,619.28 × 140,734.01
  4. Step 4: Simplify right side
    243,442.53x = 51,314,331,574.62
  5. Step 5: Solve for x
    x = 51,314,331,574.62/243,442.53
  6. Step 6: Final answer
    x = 210,786.22

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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.