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Finding the Fourth Proportional to 106,699.06, 160,215.05 and 101,966.64

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Solution

The fourth proportional to 106,699.06, 160,215.05 and 101,966.64 is: 153,109.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,699.06 : 160,215.05 = 101,966.64 : x
  2. Step 2: Convert to fraction form
    106,699.06/160,215.05 = 101,966.64/x
  3. Step 3: Cross multiply
    106,699.06x = 160,215.05 × 101,966.64
  4. Step 4: Simplify right side
    106,699.06x = 16,336,590,325.93
  5. Step 5: Solve for x
    x = 16,336,590,325.93/106,699.06
  6. Step 6: Final answer
    x = 153,109.04

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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.