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Finding the Fourth Proportional to 233,647.80, 349,953.30 and 93,334.20

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Solution

The fourth proportional to 233,647.80, 349,953.30 and 93,334.20 is: 139,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,647.80 : 349,953.30 = 93,334.20 : x
  2. Step 2: Convert to fraction form
    233,647.80/349,953.30 = 93,334.20/x
  3. Step 3: Cross multiply
    233,647.80x = 349,953.30 × 93,334.20
  4. Step 4: Simplify right side
    233,647.80x = 32,662,611,292.86
  5. Step 5: Solve for x
    x = 32,662,611,292.86/233,647.80
  6. Step 6: Final answer
    x = 139,794.22

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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.