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Finding the Fourth Proportional to 174,951.40, 262,427.10 and 96,219.40

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Solution

The fourth proportional to 174,951.40, 262,427.10 and 96,219.40 is: 144,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,951.40 : 262,427.10 = 96,219.40 : x
  2. Step 2: Convert to fraction form
    174,951.40/262,427.10 = 96,219.40/x
  3. Step 3: Cross multiply
    174,951.40x = 262,427.10 × 96,219.40
  4. Step 4: Simplify right side
    174,951.40x = 25,250,578,105.74
  5. Step 5: Solve for x
    x = 25,250,578,105.74/174,951.40
  6. Step 6: Final answer
    x = 144,329.10

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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.