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Finding the Fourth Proportional to 242,013.42, 333,911.01 and 145,156.66

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Solution

The fourth proportional to 242,013.42, 333,911.01 and 145,156.66 is: 200,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,013.42 : 333,911.01 = 145,156.66 : x
  2. Step 2: Convert to fraction form
    242,013.42/333,911.01 = 145,156.66/x
  3. Step 3: Cross multiply
    242,013.42x = 333,911.01 × 145,156.66
  4. Step 4: Simplify right side
    242,013.42x = 48,469,405,841.88
  5. Step 5: Solve for x
    x = 48,469,405,841.88/242,013.42
  6. Step 6: Final answer
    x = 200,275.69

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1.5x scale

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.