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Finding the Fourth Proportional to 164,800.20, 247,200.30 and 111,656.10

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Solution

The fourth proportional to 164,800.20, 247,200.30 and 111,656.10 is: 167,484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,800.20 : 247,200.30 = 111,656.10 : x
  2. Step 2: Convert to fraction form
    164,800.20/247,200.30 = 111,656.10/x
  3. Step 3: Cross multiply
    164,800.20x = 247,200.30 × 111,656.10
  4. Step 4: Simplify right side
    164,800.20x = 27,601,421,416.83
  5. Step 5: Solve for x
    x = 27,601,421,416.83/164,800.20
  6. Step 6: Final answer
    x = 167,484.15

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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.