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Finding the Fourth Proportional to 164,715.40, 246,927.30 and 147,000.70

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Solution

The fourth proportional to 164,715.40, 246,927.30 and 147,000.70 is: 220,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,715.40 : 246,927.30 = 147,000.70 : x
  2. Step 2: Convert to fraction form
    164,715.40/246,927.30 = 147,000.70/x
  3. Step 3: Cross multiply
    164,715.40x = 246,927.30 × 147,000.70
  4. Step 4: Simplify right side
    164,715.40x = 36,298,485,949.11
  5. Step 5: Solve for x
    x = 36,298,485,949.11/164,715.40
  6. Step 6: Final answer
    x = 220,370.93

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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.