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Finding the Fourth Proportional to 242,418.42, 362,878.79 and 157,996.98

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Solution

The fourth proportional to 242,418.42, 362,878.79 and 157,996.98 is: 236,507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,418.42 : 362,878.79 = 157,996.98 : x
  2. Step 2: Convert to fraction form
    242,418.42/362,878.79 = 157,996.98/x
  3. Step 3: Cross multiply
    242,418.42x = 362,878.79 × 157,996.98
  4. Step 4: Simplify right side
    242,418.42x = 57,333,752,136.07
  5. Step 5: Solve for x
    x = 57,333,752,136.07/242,418.42
  6. Step 6: Final answer
    x = 236,507.41

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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.