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Finding the Fourth Proportional to 164,054.10, 245,946.15 and 74,102.70

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Solution

The fourth proportional to 164,054.10, 245,946.15 and 74,102.70 is: 111,093.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,054.10 : 245,946.15 = 74,102.70 : x
  2. Step 2: Convert to fraction form
    164,054.10/245,946.15 = 74,102.70/x
  3. Step 3: Cross multiply
    164,054.10x = 245,946.15 × 74,102.70
  4. Step 4: Simplify right side
    164,054.10x = 18,225,273,769.61
  5. Step 5: Solve for x
    x = 18,225,273,769.61/164,054.10
  6. Step 6: Final answer
    x = 111,093.07

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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.