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Finding the Fourth Proportional to 146,009.29, 201,492.80 and 78,941.29

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Solution

The fourth proportional to 146,009.29, 201,492.80 and 78,941.29 is: 108,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,009.29 : 201,492.80 = 78,941.29 : x
  2. Step 2: Convert to fraction form
    146,009.29/201,492.80 = 78,941.29/x
  3. Step 3: Cross multiply
    146,009.29x = 201,492.80 × 78,941.29
  4. Step 4: Simplify right side
    146,009.29x = 15,906,101,557.71
  5. Step 5: Solve for x
    x = 15,906,101,557.71/146,009.29
  6. Step 6: Final answer
    x = 108,938.97

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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.