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Finding the Fourth Proportional to 348,765.61, 523,173.78 and 146,158.34

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Solution

The fourth proportional to 348,765.61, 523,173.78 and 146,158.34 is: 219,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,765.61 : 523,173.78 = 146,158.34 : x
  2. Step 2: Convert to fraction form
    348,765.61/523,173.78 = 146,158.34/x
  3. Step 3: Cross multiply
    348,765.61x = 523,173.78 × 146,158.34
  4. Step 4: Simplify right side
    348,765.61x = 76,466,211,216.33
  5. Step 5: Solve for x
    x = 76,466,211,216.33/348,765.61
  6. Step 6: Final answer
    x = 219,248.14

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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.