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Finding the Fourth Proportional to 102,102, 140,880.10 and 59,652.33

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Solution

The fourth proportional to 102,102, 140,880.10 and 59,652.33 is: 82,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,102 : 140,880.10 = 59,652.33 : x
  2. Step 2: Convert to fraction form
    102,102/140,880.10 = 59,652.33/x
  3. Step 3: Cross multiply
    102,102x = 140,880.10 × 59,652.33
  4. Step 4: Simplify right side
    102,102x = 8,403,826,215.63
  5. Step 5: Solve for x
    x = 8,403,826,215.63/102,102
  6. Step 6: Final answer
    x = 82,308.14

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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.