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Finding the Fourth Proportional to 153,454.15, 230,215.56 and 46,847.56

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Solution

The fourth proportional to 153,454.15, 230,215.56 and 46,847.56 is: 70,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,454.15 : 230,215.56 = 46,847.56 : x
  2. Step 2: Convert to fraction form
    153,454.15/230,215.56 = 46,847.56/x
  3. Step 3: Cross multiply
    153,454.15x = 230,215.56 × 46,847.56
  4. Step 4: Simplify right side
    153,454.15x = 10,785,037,260.03
  5. Step 5: Solve for x
    x = 10,785,037,260.03/153,454.15
  6. Step 6: Final answer
    x = 70,281.82

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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.