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Finding the Fourth Proportional to 174,157.84, 240,364.08 and 106,214.24

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Solution

The fourth proportional to 174,157.84, 240,364.08 and 106,214.24 is: 146,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,157.84 : 240,364.08 = 106,214.24 : x
  2. Step 2: Convert to fraction form
    174,157.84/240,364.08 = 106,214.24/x
  3. Step 3: Cross multiply
    174,157.84x = 240,364.08 × 106,214.24
  4. Step 4: Simplify right side
    174,157.84x = 25,530,088,080.50
  5. Step 5: Solve for x
    x = 25,530,088,080.50/174,157.84
  6. Step 6: Final answer
    x = 146,591.67

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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.