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Finding the Fourth Proportional to 215,144.72, 296,897.64 and 119,646.80

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Solution

The fourth proportional to 215,144.72, 296,897.64 and 119,646.80 is: 165,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,144.72 : 296,897.64 = 119,646.80 : x
  2. Step 2: Convert to fraction form
    215,144.72/296,897.64 = 119,646.80/x
  3. Step 3: Cross multiply
    215,144.72x = 296,897.64 × 119,646.80
  4. Step 4: Simplify right side
    215,144.72x = 35,522,852,553.55
  5. Step 5: Solve for x
    x = 35,522,852,553.55/215,144.72
  6. Step 6: Final answer
    x = 165,111.43

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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.