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Finding the Fourth Proportional to 214,777.16, 296,540.74 and 134,240.86

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Solution

The fourth proportional to 214,777.16, 296,540.74 and 134,240.86 is: 185,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,777.16 : 296,540.74 = 134,240.86 : x
  2. Step 2: Convert to fraction form
    214,777.16/296,540.74 = 134,240.86/x
  3. Step 3: Cross multiply
    214,777.16x = 296,540.74 × 134,240.86
  4. Step 4: Simplify right side
    214,777.16x = 39,807,883,962.64
  5. Step 5: Solve for x
    x = 39,807,883,962.64/214,777.16
  6. Step 6: Final answer
    x = 185,345.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.