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Finding the Fourth Proportional to 233,187.42, 349,777.21 and 105,032.42

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Solution

The fourth proportional to 233,187.42, 349,777.21 and 105,032.42 is: 157,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,187.42 : 349,777.21 = 105,032.42 : x
  2. Step 2: Convert to fraction form
    233,187.42/349,777.21 = 105,032.42/x
  3. Step 3: Cross multiply
    233,187.42x = 349,777.21 × 105,032.42
  4. Step 4: Simplify right side
    233,187.42x = 36,737,946,827.15
  5. Step 5: Solve for x
    x = 36,737,946,827.15/233,187.42
  6. Step 6: Final answer
    x = 157,546.86

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1.5x scale

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.