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Finding the Fourth Proportional to 90,147, 135,191.74 and 30,968.40

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Solution

The fourth proportional to 90,147, 135,191.74 and 30,968.40 is: 46,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,147 : 135,191.74 = 30,968.40 : x
  2. Step 2: Convert to fraction form
    90,147/135,191.74 = 30,968.40/x
  3. Step 3: Cross multiply
    90,147x = 135,191.74 × 30,968.40
  4. Step 4: Simplify right side
    90,147x = 4,186,671,881.02
  5. Step 5: Solve for x
    x = 4,186,671,881.02/90,147
  6. Step 6: Final answer
    x = 46,442.72

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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.