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Finding the Fourth Proportional to 405,147.38, 607,750.62 and 138,905.64

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Solution

The fourth proportional to 405,147.38, 607,750.62 and 138,905.64 is: 208,368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,147.38 : 607,750.62 = 138,905.64 : x
  2. Step 2: Convert to fraction form
    405,147.38/607,750.62 = 138,905.64/x
  3. Step 3: Cross multiply
    405,147.38x = 607,750.62 × 138,905.64
  4. Step 4: Simplify right side
    405,147.38x = 84,419,988,831.50
  5. Step 5: Solve for x
    x = 84,419,988,831.50/405,147.38
  6. Step 6: Final answer
    x = 208,368.59

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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.