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Finding the Fourth Proportional to 203,465.24, 280,798.62 and 112,849.64

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Solution

The fourth proportional to 203,465.24, 280,798.62 and 112,849.64 is: 155,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,465.24 : 280,798.62 = 112,849.64 : x
  2. Step 2: Convert to fraction form
    203,465.24/280,798.62 = 112,849.64/x
  3. Step 3: Cross multiply
    203,465.24x = 280,798.62 × 112,849.64
  4. Step 4: Simplify right side
    203,465.24x = 31,688,023,179.50
  5. Step 5: Solve for x
    x = 31,688,023,179.50/203,465.24
  6. Step 6: Final answer
    x = 155,741.70

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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.