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Finding the Fourth Proportional to 114,000.40, 171,000.60 and 96,285.70

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Solution

The fourth proportional to 114,000.40, 171,000.60 and 96,285.70 is: 144,428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,000.40 : 171,000.60 = 96,285.70 : x
  2. Step 2: Convert to fraction form
    114,000.40/171,000.60 = 96,285.70/x
  3. Step 3: Cross multiply
    114,000.40x = 171,000.60 × 96,285.70
  4. Step 4: Simplify right side
    114,000.40x = 16,464,912,471.42
  5. Step 5: Solve for x
    x = 16,464,912,471.42/114,000.40
  6. Step 6: Final answer
    x = 144,428.55

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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.