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Finding the Fourth Proportional to 145,994.96, 201,472.62 and 82,332.30

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Solution

The fourth proportional to 145,994.96, 201,472.62 and 82,332.30 is: 113,618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,994.96 : 201,472.62 = 82,332.30 : x
  2. Step 2: Convert to fraction form
    145,994.96/201,472.62 = 82,332.30/x
  3. Step 3: Cross multiply
    145,994.96x = 201,472.62 × 82,332.30
  4. Step 4: Simplify right side
    145,994.96x = 16,587,704,191.63
  5. Step 5: Solve for x
    x = 16,587,704,191.63/145,994.96
  6. Step 6: Final answer
    x = 113,618.33

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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.