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Finding the Fourth Proportional to 265,646.16, 366,591.84 and 150,925

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Solution

The fourth proportional to 265,646.16, 366,591.84 and 150,925 is: 208,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,646.16 : 366,591.84 = 150,925 : x
  2. Step 2: Convert to fraction form
    265,646.16/366,591.84 = 150,925/x
  3. Step 3: Cross multiply
    265,646.16x = 366,591.84 × 150,925
  4. Step 4: Simplify right side
    265,646.16x = 55,327,873,452.00
  5. Step 5: Solve for x
    x = 55,327,873,452.00/265,646.16
  6. Step 6: Final answer
    x = 208,276.58

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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.