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Finding the Fourth Proportional to 154,504.54, 213,141 and 97,214.86

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Solution

The fourth proportional to 154,504.54, 213,141 and 97,214.86 is: 134,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,504.54 : 213,141 = 97,214.86 : x
  2. Step 2: Convert to fraction form
    154,504.54/213,141 = 97,214.86/x
  3. Step 3: Cross multiply
    154,504.54x = 213,141 × 97,214.86
  4. Step 4: Simplify right side
    154,504.54x = 20,720,472,475.26
  5. Step 5: Solve for x
    x = 20,720,472,475.26/154,504.54
  6. Step 6: Final answer
    x = 134,109.15

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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.