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Finding the Fourth Proportional to 188,638.40, 260,322.66 and 102,598.16

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Solution

The fourth proportional to 188,638.40, 260,322.66 and 102,598.16 is: 141,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,638.40 : 260,322.66 = 102,598.16 : x
  2. Step 2: Convert to fraction form
    188,638.40/260,322.66 = 102,598.16/x
  3. Step 3: Cross multiply
    188,638.40x = 260,322.66 × 102,598.16
  4. Step 4: Simplify right side
    188,638.40x = 26,708,625,922.31
  5. Step 5: Solve for x
    x = 26,708,625,922.31/188,638.40
  6. Step 6: Final answer
    x = 141,586.37

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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.