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Finding the Fourth Proportional to 191,257.80, 286,368.30 and 149,785.80

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Solution

The fourth proportional to 191,257.80, 286,368.30 and 149,785.80 is: 224,272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,257.80 : 286,368.30 = 149,785.80 : x
  2. Step 2: Convert to fraction form
    191,257.80/286,368.30 = 149,785.80/x
  3. Step 3: Cross multiply
    191,257.80x = 286,368.30 × 149,785.80
  4. Step 4: Simplify right side
    191,257.80x = 42,893,904,910.14
  5. Step 5: Solve for x
    x = 42,893,904,910.14/191,257.80
  6. Step 6: Final answer
    x = 224,272.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.