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Finding the Fourth Proportional to 105,189.40, 157,785.49 and 35,068.73

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Solution

The fourth proportional to 105,189.40, 157,785.49 and 35,068.73 is: 52,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,189.40 : 157,785.49 = 35,068.73 : x
  2. Step 2: Convert to fraction form
    105,189.40/157,785.49 = 35,068.73/x
  3. Step 3: Cross multiply
    105,189.40x = 157,785.49 × 35,068.73
  4. Step 4: Simplify right side
    105,189.40x = 5,533,336,746.73
  5. Step 5: Solve for x
    x = 5,533,336,746.73/105,189.40
  6. Step 6: Final answer
    x = 52,603.56

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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.