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Finding the Fourth Proportional to 105,107.30, 157,430.55 and 91,283.30

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Solution

The fourth proportional to 105,107.30, 157,430.55 and 91,283.30 is: 136,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,107.30 : 157,430.55 = 91,283.30 : x
  2. Step 2: Convert to fraction form
    105,107.30/157,430.55 = 91,283.30/x
  3. Step 3: Cross multiply
    105,107.30x = 157,430.55 × 91,283.30
  4. Step 4: Simplify right side
    105,107.30x = 14,370,780,124.82
  5. Step 5: Solve for x
    x = 14,370,780,124.82/105,107.30
  6. Step 6: Final answer
    x = 136,724.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.