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Finding the Fourth Proportional to 214,000.10, 321,000.15 and 151,792.10

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Solution

The fourth proportional to 214,000.10, 321,000.15 and 151,792.10 is: 227,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,000.10 : 321,000.15 = 151,792.10 : x
  2. Step 2: Convert to fraction form
    214,000.10/321,000.15 = 151,792.10/x
  3. Step 3: Cross multiply
    214,000.10x = 321,000.15 × 151,792.10
  4. Step 4: Simplify right side
    214,000.10x = 48,725,286,868.82
  5. Step 5: Solve for x
    x = 48,725,286,868.82/214,000.10
  6. Step 6: Final answer
    x = 227,688.15

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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.