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Finding the Fourth Proportional to 191,863.70, 287,878.46 and 103,013.46

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Solution

The fourth proportional to 191,863.70, 287,878.46 and 103,013.46 is: 154,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,863.70 : 287,878.46 = 103,013.46 : x
  2. Step 2: Convert to fraction form
    191,863.70/287,878.46 = 103,013.46/x
  3. Step 3: Cross multiply
    191,863.70x = 287,878.46 × 103,013.46
  4. Step 4: Simplify right side
    191,863.70x = 29,655,356,224.07
  5. Step 5: Solve for x
    x = 29,655,356,224.07/191,863.70
  6. Step 6: Final answer
    x = 154,564.71

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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.