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Finding the Fourth Proportional to 164,772.45, 247,158.68 and 161,856.45

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Solution

The fourth proportional to 164,772.45, 247,158.68 and 161,856.45 is: 242,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,772.45 : 247,158.68 = 161,856.45 : x
  2. Step 2: Convert to fraction form
    164,772.45/247,158.68 = 161,856.45/x
  3. Step 3: Cross multiply
    164,772.45x = 247,158.68 × 161,856.45
  4. Step 4: Simplify right side
    164,772.45x = 40,004,225,722.20
  5. Step 5: Solve for x
    x = 40,004,225,722.20/164,772.45
  6. Step 6: Final answer
    x = 242,784.68

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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.