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Finding the Fourth Proportional to 146,595.10, 219,892.65 and 146,595.10

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Solution

The fourth proportional to 146,595.10, 219,892.65 and 146,595.10 is: 219,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,595.10 : 219,892.65 = 146,595.10 : x
  2. Step 2: Convert to fraction form
    146,595.10/219,892.65 = 146,595.10/x
  3. Step 3: Cross multiply
    146,595.10x = 219,892.65 × 146,595.10
  4. Step 4: Simplify right side
    146,595.10x = 32,235,185,016.02
  5. Step 5: Solve for x
    x = 32,235,185,016.02/146,595.10
  6. Step 6: Final answer
    x = 219,892.65

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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.