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Finding the Fourth Proportional to 102,906.12, 142,032.51 and 67,032.12

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Solution

The fourth proportional to 102,906.12, 142,032.51 and 67,032.12 is: 92,518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,906.12 : 142,032.51 = 67,032.12 : x
  2. Step 2: Convert to fraction form
    102,906.12/142,032.51 = 67,032.12/x
  3. Step 3: Cross multiply
    102,906.12x = 142,032.51 × 67,032.12
  4. Step 4: Simplify right side
    102,906.12x = 9,520,740,254.22
  5. Step 5: Solve for x
    x = 9,520,740,254.22/102,906.12
  6. Step 6: Final answer
    x = 92,518.70

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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.