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Finding the Fourth Proportional to 153,216.78, 211,443.47 and 85,235.91

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Solution

The fourth proportional to 153,216.78, 211,443.47 and 85,235.91 is: 117,627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,216.78 : 211,443.47 = 85,235.91 : x
  2. Step 2: Convert to fraction form
    153,216.78/211,443.47 = 85,235.91/x
  3. Step 3: Cross multiply
    153,216.78x = 211,443.47 × 85,235.91
  4. Step 4: Simplify right side
    153,216.78x = 18,022,576,152.83
  5. Step 5: Solve for x
    x = 18,022,576,152.83/153,216.78
  6. Step 6: Final answer
    x = 117,627.95

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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.