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Finding the Fourth Proportional to 150,473.16, 225,644.12 and 56,913.30

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Solution

The fourth proportional to 150,473.16, 225,644.12 and 56,913.30 is: 85,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,473.16 : 225,644.12 = 56,913.30 : x
  2. Step 2: Convert to fraction form
    150,473.16/225,644.12 = 56,913.30/x
  3. Step 3: Cross multiply
    150,473.16x = 225,644.12 × 56,913.30
  4. Step 4: Simplify right side
    150,473.16x = 12,842,150,751.84
  5. Step 5: Solve for x
    x = 12,842,150,751.84/150,473.16
  6. Step 6: Final answer
    x = 85,345.13

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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.