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Finding the Fourth Proportional to 267,697.34, 369,427.46 and 146,831.40

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Solution

The fourth proportional to 267,697.34, 369,427.46 and 146,831.40 is: 202,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,697.34 : 369,427.46 = 146,831.40 : x
  2. Step 2: Convert to fraction form
    267,697.34/369,427.46 = 146,831.40/x
  3. Step 3: Cross multiply
    267,697.34x = 369,427.46 × 146,831.40
  4. Step 4: Simplify right side
    267,697.34x = 54,243,551,150.24
  5. Step 5: Solve for x
    x = 54,243,551,150.24/267,697.34
  6. Step 6: Final answer
    x = 202,630.15

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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.