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Finding the Fourth Proportional to 254,412.14, 351,047.86 and 146,996.42

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Solution

The fourth proportional to 254,412.14, 351,047.86 and 146,996.42 is: 202,831.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,412.14 : 351,047.86 = 146,996.42 : x
  2. Step 2: Convert to fraction form
    254,412.14/351,047.86 = 146,996.42/x
  3. Step 3: Cross multiply
    254,412.14x = 351,047.86 × 146,996.42
  4. Step 4: Simplify right side
    254,412.14x = 51,602,776,545.93
  5. Step 5: Solve for x
    x = 51,602,776,545.93/254,412.14
  6. Step 6: Final answer
    x = 202,831.43

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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.