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Finding the Fourth Proportional to 242,315.84, 363,531.24 and 76,103.84

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Solution

The fourth proportional to 242,315.84, 363,531.24 and 76,103.84 is: 114,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,315.84 : 363,531.24 = 76,103.84 : x
  2. Step 2: Convert to fraction form
    242,315.84/363,531.24 = 76,103.84/x
  3. Step 3: Cross multiply
    242,315.84x = 363,531.24 × 76,103.84
  4. Step 4: Simplify right side
    242,315.84x = 27,666,123,323.96
  5. Step 5: Solve for x
    x = 27,666,123,323.96/242,315.84
  6. Step 6: Final answer
    x = 114,173.81

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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.