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Finding the Fourth Proportional to 267,685.32, 369,416.07 and 146,831.70

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Solution

The fourth proportional to 267,685.32, 369,416.07 and 146,831.70 is: 202,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,685.32 : 369,416.07 = 146,831.70 : x
  2. Step 2: Convert to fraction form
    267,685.32/369,416.07 = 146,831.70/x
  3. Step 3: Cross multiply
    267,685.32x = 369,416.07 × 146,831.70
  4. Step 4: Simplify right side
    267,685.32x = 54,241,989,565.42
  5. Step 5: Solve for x
    x = 54,241,989,565.42/267,685.32
  6. Step 6: Final answer
    x = 202,633.41

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