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Finding the Fourth Proportional to 164,494.80, 247,260.60 and 152,053.20

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Solution

The fourth proportional to 164,494.80, 247,260.60 and 152,053.20 is: 228,558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,494.80 : 247,260.60 = 152,053.20 : x
  2. Step 2: Convert to fraction form
    164,494.80/247,260.60 = 152,053.20/x
  3. Step 3: Cross multiply
    164,494.80x = 247,260.60 × 152,053.20
  4. Step 4: Simplify right side
    164,494.80x = 37,596,765,463.92
  5. Step 5: Solve for x
    x = 37,596,765,463.92/164,494.80
  6. Step 6: Final answer
    x = 228,558.99

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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.