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Finding the Fourth Proportional to 132,235.61, 197,914.64 and 120,416.58

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Solution

The fourth proportional to 132,235.61, 197,914.64 and 120,416.58 is: 180,225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,235.61 : 197,914.64 = 120,416.58 : x
  2. Step 2: Convert to fraction form
    132,235.61/197,914.64 = 120,416.58/x
  3. Step 3: Cross multiply
    132,235.61x = 197,914.64 × 120,416.58
  4. Step 4: Simplify right side
    132,235.61x = 23,832,203,478.65
  5. Step 5: Solve for x
    x = 23,832,203,478.65/132,235.61
  6. Step 6: Final answer
    x = 180,225.31

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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.