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Finding the Fourth Proportional to 146,598.06, 202,128.03 and 123,897

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Solution

The fourth proportional to 146,598.06, 202,128.03 and 123,897 is: 170,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,598.06 : 202,128.03 = 123,897 : x
  2. Step 2: Convert to fraction form
    146,598.06/202,128.03 = 123,897/x
  3. Step 3: Cross multiply
    146,598.06x = 202,128.03 × 123,897
  4. Step 4: Simplify right side
    146,598.06x = 25,043,056,532.91
  5. Step 5: Solve for x
    x = 25,043,056,532.91/146,598.06
  6. Step 6: Final answer
    x = 170,828.02

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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.