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Finding the Fourth Proportional to 242,005, 333,975 and 133,113.96

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Solution

The fourth proportional to 242,005, 333,975 and 133,113.96 is: 183,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,005 : 333,975 = 133,113.96 : x
  2. Step 2: Convert to fraction form
    242,005/333,975 = 133,113.96/x
  3. Step 3: Cross multiply
    242,005x = 333,975 × 133,113.96
  4. Step 4: Simplify right side
    242,005x = 44,456,734,791
  5. Step 5: Solve for x
    x = 44,456,734,791/242,005
  6. Step 6: Final answer
    x = 183,701.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.