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Finding the Fourth Proportional to 280,229.42, 386,715.87 and 152,904.92

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Solution

The fourth proportional to 280,229.42, 386,715.87 and 152,904.92 is: 211,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,229.42 : 386,715.87 = 152,904.92 : x
  2. Step 2: Convert to fraction form
    280,229.42/386,715.87 = 152,904.92/x
  3. Step 3: Cross multiply
    280,229.42x = 386,715.87 × 152,904.92
  4. Step 4: Simplify right side
    280,229.42x = 59,130,757,231.50
  5. Step 5: Solve for x
    x = 59,130,757,231.50/280,229.42
  6. Step 6: Final answer
    x = 211,008.38

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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.