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Finding the Fourth Proportional to 199,353.70, 299,088.47 and 64,414.94

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Solution

The fourth proportional to 199,353.70, 299,088.47 and 64,414.94 is: 96,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,353.70 : 299,088.47 = 64,414.94 : x
  2. Step 2: Convert to fraction form
    199,353.70/299,088.47 = 64,414.94/x
  3. Step 3: Cross multiply
    199,353.70x = 299,088.47 × 64,414.94
  4. Step 4: Simplify right side
    199,353.70x = 19,265,767,022.73
  5. Step 5: Solve for x
    x = 19,265,767,022.73/199,353.70
  6. Step 6: Final answer
    x = 96,641.13

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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.