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Finding the Fourth Proportional to 132,002.60, 197,955.30 and 65,420.60

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Solution

The fourth proportional to 132,002.60, 197,955.30 and 65,420.60 is: 98,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,002.60 : 197,955.30 = 65,420.60 : x
  2. Step 2: Convert to fraction form
    132,002.60/197,955.30 = 65,420.60/x
  3. Step 3: Cross multiply
    132,002.60x = 197,955.30 × 65,420.60
  4. Step 4: Simplify right side
    132,002.60x = 12,950,354,499.18
  5. Step 5: Solve for x
    x = 12,950,354,499.18/132,002.60
  6. Step 6: Final answer
    x = 98,106.81

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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.