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Finding the Fourth Proportional to 247,298.40, 370,947.60 and 114,438.15

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Solution

The fourth proportional to 247,298.40, 370,947.60 and 114,438.15 is: 171,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,298.40 : 370,947.60 = 114,438.15 : x
  2. Step 2: Convert to fraction form
    247,298.40/370,947.60 = 114,438.15/x
  3. Step 3: Cross multiply
    247,298.40x = 370,947.60 × 114,438.15
  4. Step 4: Simplify right side
    247,298.40x = 42,450,557,090.94
  5. Step 5: Solve for x
    x = 42,450,557,090.94/247,298.40
  6. Step 6: Final answer
    x = 171,657.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.