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Finding the Fourth Proportional to 213,952.34, 320,808.46 and 146,560.54

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Solution

The fourth proportional to 213,952.34, 320,808.46 and 146,560.54 is: 219,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,952.34 : 320,808.46 = 146,560.54 : x
  2. Step 2: Convert to fraction form
    213,952.34/320,808.46 = 146,560.54/x
  3. Step 3: Cross multiply
    213,952.34x = 320,808.46 × 146,560.54
  4. Step 4: Simplify right side
    213,952.34x = 47,017,861,134.17
  5. Step 5: Solve for x
    x = 47,017,861,134.17/213,952.34
  6. Step 6: Final answer
    x = 219,758.57

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1.5x scale

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.