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Finding the Fourth Proportional to 106,700.06, 160,216.55 and 101,967.64

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Solution

The fourth proportional to 106,700.06, 160,216.55 and 101,967.64 is: 153,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,700.06 : 160,216.55 = 101,967.64 : x
  2. Step 2: Convert to fraction form
    106,700.06/160,216.55 = 101,967.64/x
  3. Step 3: Cross multiply
    106,700.06x = 160,216.55 × 101,967.64
  4. Step 4: Simplify right side
    106,700.06x = 16,336,903,492.44
  5. Step 5: Solve for x
    x = 16,336,903,492.44/106,700.06
  6. Step 6: Final answer
    x = 153,110.54

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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.