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Finding the Fourth Proportional to 194,465.80, 291,677.10 and 159,344.20

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Solution

The fourth proportional to 194,465.80, 291,677.10 and 159,344.20 is: 238,998.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,465.80 : 291,677.10 = 159,344.20 : x
  2. Step 2: Convert to fraction form
    194,465.80/291,677.10 = 159,344.20/x
  3. Step 3: Cross multiply
    194,465.80x = 291,677.10 × 159,344.20
  4. Step 4: Simplify right side
    194,465.80x = 46,477,054,157.82
  5. Step 5: Solve for x
    x = 46,477,054,157.82/194,465.80
  6. Step 6: Final answer
    x = 238,998.60

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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.