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Finding the Fourth Proportional to 162,533.16, 243,621.72 and 83,651.70

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Solution

The fourth proportional to 162,533.16, 243,621.72 and 83,651.70 is: 125,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,533.16 : 243,621.72 = 83,651.70 : x
  2. Step 2: Convert to fraction form
    162,533.16/243,621.72 = 83,651.70/x
  3. Step 3: Cross multiply
    162,533.16x = 243,621.72 × 83,651.70
  4. Step 4: Simplify right side
    162,533.16x = 20,379,371,034.92
  5. Step 5: Solve for x
    x = 20,379,371,034.92/162,533.16
  6. Step 6: Final answer
    x = 125,385.93

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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.