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Finding the Fourth Proportional to 214,762.47, 296,440.20 and 151,286.01

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Solution

The fourth proportional to 214,762.47, 296,440.20 and 151,286.01 is: 208,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,762.47 : 296,440.20 = 151,286.01 : x
  2. Step 2: Convert to fraction form
    214,762.47/296,440.20 = 151,286.01/x
  3. Step 3: Cross multiply
    214,762.47x = 296,440.20 × 151,286.01
  4. Step 4: Simplify right side
    214,762.47x = 44,847,255,061.60
  5. Step 5: Solve for x
    x = 44,847,255,061.60/214,762.47
  6. Step 6: Final answer
    x = 208,822.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.