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Finding the Fourth Proportional to 187,009.48, 257,902.14 and 146,179

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Solution

The fourth proportional to 187,009.48, 257,902.14 and 146,179 is: 201,593.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,009.48 : 257,902.14 = 146,179 : x
  2. Step 2: Convert to fraction form
    187,009.48/257,902.14 = 146,179/x
  3. Step 3: Cross multiply
    187,009.48x = 257,902.14 × 146,179
  4. Step 4: Simplify right side
    187,009.48x = 37,699,876,923.06
  5. Step 5: Solve for x
    x = 37,699,876,923.06/187,009.48
  6. Step 6: Final answer
    x = 201,593.40

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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.