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Finding the Fourth Proportional to 105,731.96, 145,916.76 and 69,859.08

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Solution

The fourth proportional to 105,731.96, 145,916.76 and 69,859.08 is: 96,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,731.96 : 145,916.76 = 69,859.08 : x
  2. Step 2: Convert to fraction form
    105,731.96/145,916.76 = 69,859.08/x
  3. Step 3: Cross multiply
    105,731.96x = 145,916.76 × 69,859.08
  4. Step 4: Simplify right side
    105,731.96x = 10,193,610,610.18
  5. Step 5: Solve for x
    x = 10,193,610,610.18/105,731.96
  6. Step 6: Final answer
    x = 96,409.93

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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.