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Finding the Fourth Proportional to 233,484.52, 350,261.34 and 85,729

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Solution

The fourth proportional to 233,484.52, 350,261.34 and 85,729 is: 128,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,484.52 : 350,261.34 = 85,729 : x
  2. Step 2: Convert to fraction form
    233,484.52/350,261.34 = 85,729/x
  3. Step 3: Cross multiply
    233,484.52x = 350,261.34 × 85,729
  4. Step 4: Simplify right side
    233,484.52x = 30,027,554,416.86
  5. Step 5: Solve for x
    x = 30,027,554,416.86/233,484.52
  6. Step 6: Final answer
    x = 128,606.19

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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.