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Finding the Fourth Proportional to 201,678.20, 301,861.20 and 157,063.40

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Solution

The fourth proportional to 201,678.20, 301,861.20 and 157,063.40 is: 235,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,678.20 : 301,861.20 = 157,063.40 : x
  2. Step 2: Convert to fraction form
    201,678.20/301,861.20 = 157,063.40/x
  3. Step 3: Cross multiply
    201,678.20x = 301,861.20 × 157,063.40
  4. Step 4: Simplify right side
    201,678.20x = 47,411,346,400.08
  5. Step 5: Solve for x
    x = 47,411,346,400.08/201,678.20
  6. Step 6: Final answer
    x = 235,084.14

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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.