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Finding the Fourth Proportional to 110,703.70, 166,055.55 and 102,150.10

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Solution

The fourth proportional to 110,703.70, 166,055.55 and 102,150.10 is: 153,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,703.70 : 166,055.55 = 102,150.10 : x
  2. Step 2: Convert to fraction form
    110,703.70/166,055.55 = 102,150.10/x
  3. Step 3: Cross multiply
    110,703.70x = 166,055.55 × 102,150.10
  4. Step 4: Simplify right side
    110,703.70x = 16,962,591,038.06
  5. Step 5: Solve for x
    x = 16,962,591,038.06/110,703.70
  6. Step 6: Final answer
    x = 153,225.15

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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.