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Finding the Fourth Proportional to 102,794.94, 141,858 and 60,354.18

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Solution

The fourth proportional to 102,794.94, 141,858 and 60,354.18 is: 83,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,794.94 : 141,858 = 60,354.18 : x
  2. Step 2: Convert to fraction form
    102,794.94/141,858 = 60,354.18/x
  3. Step 3: Cross multiply
    102,794.94x = 141,858 × 60,354.18
  4. Step 4: Simplify right side
    102,794.94x = 8,561,723,266.44
  5. Step 5: Solve for x
    x = 8,561,723,266.44/102,794.94
  6. Step 6: Final answer
    x = 83,289.35

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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.