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Finding the Fourth Proportional to 157,467.30, 236,200.95 and 106,947.60

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Solution

The fourth proportional to 157,467.30, 236,200.95 and 106,947.60 is: 160,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,467.30 : 236,200.95 = 106,947.60 : x
  2. Step 2: Convert to fraction form
    157,467.30/236,200.95 = 106,947.60/x
  3. Step 3: Cross multiply
    157,467.30x = 236,200.95 × 106,947.60
  4. Step 4: Simplify right side
    157,467.30x = 25,261,124,720.22
  5. Step 5: Solve for x
    x = 25,261,124,720.22/157,467.30
  6. Step 6: Final answer
    x = 160,421.40

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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.