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Finding the Fourth Proportional to 102,566.66, 153,830.44 and 43,443.84

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Solution

The fourth proportional to 102,566.66, 153,830.44 and 43,443.84 is: 65,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,566.66 : 153,830.44 = 43,443.84 : x
  2. Step 2: Convert to fraction form
    102,566.66/153,830.44 = 43,443.84/x
  3. Step 3: Cross multiply
    102,566.66x = 153,830.44 × 43,443.84
  4. Step 4: Simplify right side
    102,566.66x = 6,682,985,653.66
  5. Step 5: Solve for x
    x = 6,682,985,653.66/102,566.66
  6. Step 6: Final answer
    x = 65,157.49

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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.