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Finding the Fourth Proportional to 153,651.88, 212,024.14 and 85,662.50

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Solution

The fourth proportional to 153,651.88, 212,024.14 and 85,662.50 is: 118,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,651.88 : 212,024.14 = 85,662.50 : x
  2. Step 2: Convert to fraction form
    153,651.88/212,024.14 = 85,662.50/x
  3. Step 3: Cross multiply
    153,651.88x = 212,024.14 × 85,662.50
  4. Step 4: Simplify right side
    153,651.88x = 18,162,518,208.65
  5. Step 5: Solve for x
    x = 18,162,518,208.65/153,651.88
  6. Step 6: Final answer
    x = 118,205.64

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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.