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Finding the Fourth Proportional to 194,577.20, 291,217.80 and 141,117.20

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Solution

The fourth proportional to 194,577.20, 291,217.80 and 141,117.20 is: 211,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,577.20 : 291,217.80 = 141,117.20 : x
  2. Step 2: Convert to fraction form
    194,577.20/291,217.80 = 141,117.20/x
  3. Step 3: Cross multiply
    194,577.20x = 291,217.80 × 141,117.20
  4. Step 4: Simplify right side
    194,577.20x = 41,095,840,526.16
  5. Step 5: Solve for x
    x = 41,095,840,526.16/194,577.20
  6. Step 6: Final answer
    x = 211,205.84

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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.