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Finding the Fourth Proportional to 253,234.86, 349,464.15 and 152,652.30

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Solution

The fourth proportional to 253,234.86, 349,464.15 and 152,652.30 is: 210,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,234.86 : 349,464.15 = 152,652.30 : x
  2. Step 2: Convert to fraction form
    253,234.86/349,464.15 = 152,652.30/x
  3. Step 3: Cross multiply
    253,234.86x = 349,464.15 × 152,652.30
  4. Step 4: Simplify right side
    253,234.86x = 53,346,506,265.05
  5. Step 5: Solve for x
    x = 53,346,506,265.05/253,234.86
  6. Step 6: Final answer
    x = 210,660.20

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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.