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Finding the Fourth Proportional to 203,775.40, 305,663.10 and 157,119.40

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Solution

The fourth proportional to 203,775.40, 305,663.10 and 157,119.40 is: 235,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,775.40 : 305,663.10 = 157,119.40 : x
  2. Step 2: Convert to fraction form
    203,775.40/305,663.10 = 157,119.40/x
  3. Step 3: Cross multiply
    203,775.40x = 305,663.10 × 157,119.40
  4. Step 4: Simplify right side
    203,775.40x = 48,025,602,874.14
  5. Step 5: Solve for x
    x = 48,025,602,874.14/203,775.40
  6. Step 6: Final answer
    x = 235,679.10

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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.