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Finding the Fourth Proportional to 180,252.10, 270,378.15 and 156,924.10

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Solution

The fourth proportional to 180,252.10, 270,378.15 and 156,924.10 is: 235,386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,252.10 : 270,378.15 = 156,924.10 : x
  2. Step 2: Convert to fraction form
    180,252.10/270,378.15 = 156,924.10/x
  3. Step 3: Cross multiply
    180,252.10x = 270,378.15 × 156,924.10
  4. Step 4: Simplify right side
    180,252.10x = 42,428,847,848.42
  5. Step 5: Solve for x
    x = 42,428,847,848.42/180,252.10
  6. Step 6: Final answer
    x = 235,386.15

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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.