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Finding the Fourth Proportional to 268,024.22, 402,023.13 and 99,577.34

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Solution

The fourth proportional to 268,024.22, 402,023.13 and 99,577.34 is: 149,361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,024.22 : 402,023.13 = 99,577.34 : x
  2. Step 2: Convert to fraction form
    268,024.22/402,023.13 = 99,577.34/x
  3. Step 3: Cross multiply
    268,024.22x = 402,023.13 × 99,577.34
  4. Step 4: Simplify right side
    268,024.22x = 40,032,393,903.87
  5. Step 5: Solve for x
    x = 40,032,393,903.87/268,024.22
  6. Step 6: Final answer
    x = 149,361.11

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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.