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Finding the Fourth Proportional to 156,894.40, 235,082.40 and 133,566.40

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Solution

The fourth proportional to 156,894.40, 235,082.40 and 133,566.40 is: 200,128.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,894.40 : 235,082.40 = 133,566.40 : x
  2. Step 2: Convert to fraction form
    156,894.40/235,082.40 = 133,566.40/x
  3. Step 3: Cross multiply
    156,894.40x = 235,082.40 × 133,566.40
  4. Step 4: Simplify right side
    156,894.40x = 31,399,109,871.36
  5. Step 5: Solve for x
    x = 31,399,109,871.36/156,894.40
  6. Step 6: Final answer
    x = 200,128.94

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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.