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Finding the Fourth Proportional to 233,122.54, 349,683.80 and 75,350.98

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Solution

The fourth proportional to 233,122.54, 349,683.80 and 75,350.98 is: 113,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,122.54 : 349,683.80 = 75,350.98 : x
  2. Step 2: Convert to fraction form
    233,122.54/349,683.80 = 75,350.98/x
  3. Step 3: Cross multiply
    233,122.54x = 349,683.80 × 75,350.98
  4. Step 4: Simplify right side
    233,122.54x = 26,349,017,020.12
  5. Step 5: Solve for x
    x = 26,349,017,020.12/233,122.54
  6. Step 6: Final answer
    x = 113,026.47

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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.