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Finding the Fourth Proportional to 164,712.70, 247,069.05 and 148,966.30

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Solution

The fourth proportional to 164,712.70, 247,069.05 and 148,966.30 is: 223,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,712.70 : 247,069.05 = 148,966.30 : x
  2. Step 2: Convert to fraction form
    164,712.70/247,069.05 = 148,966.30/x
  3. Step 3: Cross multiply
    164,712.70x = 247,069.05 × 148,966.30
  4. Step 4: Simplify right side
    164,712.70x = 36,804,962,223.02
  5. Step 5: Solve for x
    x = 36,804,962,223.02/164,712.70
  6. Step 6: Final answer
    x = 223,449.45

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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.