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Finding the Fourth Proportional to 273,674.50, 410,533.72 and 96,221.32

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Solution

The fourth proportional to 273,674.50, 410,533.72 and 96,221.32 is: 144,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,674.50 : 410,533.72 = 96,221.32 : x
  2. Step 2: Convert to fraction form
    273,674.50/410,533.72 = 96,221.32/x
  3. Step 3: Cross multiply
    273,674.50x = 410,533.72 × 96,221.32
  4. Step 4: Simplify right side
    273,674.50x = 39,502,095,176.02
  5. Step 5: Solve for x
    x = 39,502,095,176.02/273,674.50
  6. Step 6: Final answer
    x = 144,339.70

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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.