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Finding the Fourth Proportional to 180,405.84, 270,528.76 and 96,150.30

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Solution

The fourth proportional to 180,405.84, 270,528.76 and 96,150.30 is: 144,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,405.84 : 270,528.76 = 96,150.30 : x
  2. Step 2: Convert to fraction form
    180,405.84/270,528.76 = 96,150.30/x
  3. Step 3: Cross multiply
    180,405.84x = 270,528.76 × 96,150.30
  4. Step 4: Simplify right side
    180,405.84x = 26,011,421,432.63
  5. Step 5: Solve for x
    x = 26,011,421,432.63/180,405.84
  6. Step 6: Final answer
    x = 144,182.81

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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.