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Finding the Fourth Proportional to 175,657.80, 263,141.10 and 105,328.20

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Solution

The fourth proportional to 175,657.80, 263,141.10 and 105,328.20 is: 157,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,657.80 : 263,141.10 = 105,328.20 : x
  2. Step 2: Convert to fraction form
    175,657.80/263,141.10 = 105,328.20/x
  3. Step 3: Cross multiply
    175,657.80x = 263,141.10 × 105,328.20
  4. Step 4: Simplify right side
    175,657.80x = 27,716,178,409.02
  5. Step 5: Solve for x
    x = 27,716,178,409.02/175,657.80
  6. Step 6: Final answer
    x = 157,785.07

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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.