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Finding the Fourth Proportional to 214,937.78, 296,564.75 and 133,339.45

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Solution

The fourth proportional to 214,937.78, 296,564.75 and 133,339.45 is: 183,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,937.78 : 296,564.75 = 133,339.45 : x
  2. Step 2: Convert to fraction form
    214,937.78/296,564.75 = 133,339.45/x
  3. Step 3: Cross multiply
    214,937.78x = 296,564.75 × 133,339.45
  4. Step 4: Simplify right side
    214,937.78x = 39,543,780,654.39
  5. Step 5: Solve for x
    x = 39,543,780,654.39/214,937.78
  6. Step 6: Final answer
    x = 183,977.80

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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.