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Finding the Fourth Proportional to 98,200.54, 147,300.90 and 31,650.58

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Solution

The fourth proportional to 98,200.54, 147,300.90 and 31,650.58 is: 47,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,200.54 : 147,300.90 = 31,650.58 : x
  2. Step 2: Convert to fraction form
    98,200.54/147,300.90 = 31,650.58/x
  3. Step 3: Cross multiply
    98,200.54x = 147,300.90 × 31,650.58
  4. Step 4: Simplify right side
    98,200.54x = 4,662,158,919.52
  5. Step 5: Solve for x
    x = 4,662,158,919.52/98,200.54
  6. Step 6: Final answer
    x = 47,475.90

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1.5x scale

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.