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Finding the Fourth Proportional to 186,907.52, 257,928.32 and 102,026

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Solution

The fourth proportional to 186,907.52, 257,928.32 and 102,026 is: 140,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,907.52 : 257,928.32 = 102,026 : x
  2. Step 2: Convert to fraction form
    186,907.52/257,928.32 = 102,026/x
  3. Step 3: Cross multiply
    186,907.52x = 257,928.32 × 102,026
  4. Step 4: Simplify right side
    186,907.52x = 26,315,394,776.32
  5. Step 5: Solve for x
    x = 26,315,394,776.32/186,907.52
  6. Step 6: Final answer
    x = 140,793.67

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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.