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Finding the Fourth Proportional to 233,047.60, 349,830.60 and 144,401.20

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Solution

The fourth proportional to 233,047.60, 349,830.60 and 144,401.20 is: 216,762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,047.60 : 349,830.60 = 144,401.20 : x
  2. Step 2: Convert to fraction form
    233,047.60/349,830.60 = 144,401.20/x
  3. Step 3: Cross multiply
    233,047.60x = 349,830.60 × 144,401.20
  4. Step 4: Simplify right side
    233,047.60x = 50,515,958,436.72
  5. Step 5: Solve for x
    x = 50,515,958,436.72/233,047.60
  6. Step 6: Final answer
    x = 216,762.41

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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.