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Finding the Fourth Proportional to 214,001, 320,881.44 and 146,609.16

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Solution

The fourth proportional to 214,001, 320,881.44 and 146,609.16 is: 219,831.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,001 : 320,881.44 = 146,609.16 : x
  2. Step 2: Convert to fraction form
    214,001/320,881.44 = 146,609.16/x
  3. Step 3: Cross multiply
    214,001x = 320,881.44 × 146,609.16
  4. Step 4: Simplify right side
    214,001x = 47,044,158,377.99
  5. Step 5: Solve for x
    x = 47,044,158,377.99/214,001
  6. Step 6: Final answer
    x = 219,831.49

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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.