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Finding the Fourth Proportional to 153,046.64, 211,203.24 and 85,978.64

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Solution

The fourth proportional to 153,046.64, 211,203.24 and 85,978.64 is: 118,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,046.64 : 211,203.24 = 85,978.64 : x
  2. Step 2: Convert to fraction form
    153,046.64/211,203.24 = 85,978.64/x
  3. Step 3: Cross multiply
    153,046.64x = 211,203.24 × 85,978.64
  4. Step 4: Simplify right side
    153,046.64x = 18,158,967,338.79
  5. Step 5: Solve for x
    x = 18,158,967,338.79/153,046.64
  6. Step 6: Final answer
    x = 118,649.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.