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Finding the Fourth Proportional to 334,183.86, 501,407.06 and 147,064.14

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Solution

The fourth proportional to 334,183.86, 501,407.06 and 147,064.14 is: 220,653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,183.86 : 501,407.06 = 147,064.14 : x
  2. Step 2: Convert to fraction form
    334,183.86/501,407.06 = 147,064.14/x
  3. Step 3: Cross multiply
    334,183.86x = 501,407.06 × 147,064.14
  4. Step 4: Simplify right side
    334,183.86x = 73,738,997,333.51
  5. Step 5: Solve for x
    x = 73,738,997,333.51/334,183.86
  6. Step 6: Final answer
    x = 220,653.98

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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.