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Finding the Fourth Proportional to 188,635.40, 260,318.52 and 102,595.16

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Solution

The fourth proportional to 188,635.40, 260,318.52 and 102,595.16 is: 141,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,635.40 : 260,318.52 = 102,595.16 : x
  2. Step 2: Convert to fraction form
    188,635.40/260,318.52 = 102,595.16/x
  3. Step 3: Cross multiply
    188,635.40x = 260,318.52 × 102,595.16
  4. Step 4: Simplify right side
    188,635.40x = 26,707,420,210.36
  5. Step 5: Solve for x
    x = 26,707,420,210.36/188,635.40
  6. Step 6: Final answer
    x = 141,582.23

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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.