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Finding the Fourth Proportional to 105,106.30, 157,429.05 and 91,282.30

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Solution

The fourth proportional to 105,106.30, 157,429.05 and 91,282.30 is: 136,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,106.30 : 157,429.05 = 91,282.30 : x
  2. Step 2: Convert to fraction form
    105,106.30/157,429.05 = 91,282.30/x
  3. Step 3: Cross multiply
    105,106.30x = 157,429.05 × 91,282.30
  4. Step 4: Simplify right side
    105,106.30x = 14,370,485,770.82
  5. Step 5: Solve for x
    x = 14,370,485,770.82/105,106.30
  6. Step 6: Final answer
    x = 136,723.35

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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.