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Finding the Fourth Proportional to 242,000.40, 363,100.32 and 106,993.46

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Solution

The fourth proportional to 242,000.40, 363,100.32 and 106,993.46 is: 160,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,000.40 : 363,100.32 = 106,993.46 : x
  2. Step 2: Convert to fraction form
    242,000.40/363,100.32 = 106,993.46/x
  3. Step 3: Cross multiply
    242,000.40x = 363,100.32 × 106,993.46
  4. Step 4: Simplify right side
    242,000.40x = 38,849,359,563.91
  5. Step 5: Solve for x
    x = 38,849,359,563.91/242,000.40
  6. Step 6: Final answer
    x = 160,534.28

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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.