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Finding the Fourth Proportional to 153,697.54, 230,649.92 and 53,858.63

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Solution

The fourth proportional to 153,697.54, 230,649.92 and 53,858.63 is: 80,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,697.54 : 230,649.92 = 53,858.63 : x
  2. Step 2: Convert to fraction form
    153,697.54/230,649.92 = 53,858.63/x
  3. Step 3: Cross multiply
    153,697.54x = 230,649.92 × 53,858.63
  4. Step 4: Simplify right side
    153,697.54x = 12,422,488,700.81
  5. Step 5: Solve for x
    x = 12,422,488,700.81/153,697.54
  6. Step 6: Final answer
    x = 80,824.25

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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.