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Finding the Fourth Proportional to 214,800.92, 296,425.50 and 119,307.80

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Solution

The fourth proportional to 214,800.92, 296,425.50 and 119,307.80 is: 164,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,800.92 : 296,425.50 = 119,307.80 : x
  2. Step 2: Convert to fraction form
    214,800.92/296,425.50 = 119,307.80/x
  3. Step 3: Cross multiply
    214,800.92x = 296,425.50 × 119,307.80
  4. Step 4: Simplify right side
    214,800.92x = 35,365,874,268.90
  5. Step 5: Solve for x
    x = 35,365,874,268.90/214,800.92
  6. Step 6: Final answer
    x = 164,644.89

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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.