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Finding the Fourth Proportional to 110,705.70, 166,058.55 and 102,152.10

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Solution

The fourth proportional to 110,705.70, 166,058.55 and 102,152.10 is: 153,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,705.70 : 166,058.55 = 102,152.10 : x
  2. Step 2: Convert to fraction form
    110,705.70/166,058.55 = 102,152.10/x
  3. Step 3: Cross multiply
    110,705.70x = 166,058.55 × 102,152.10
  4. Step 4: Simplify right side
    110,705.70x = 16,963,229,605.46
  5. Step 5: Solve for x
    x = 16,963,229,605.46/110,705.70
  6. Step 6: Final answer
    x = 153,228.15

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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.