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Finding the Fourth Proportional to 162,004.80, 242,974.80 and 77,764.80

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Solution

The fourth proportional to 162,004.80, 242,974.80 and 77,764.80 is: 116,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,004.80 : 242,974.80 = 77,764.80 : x
  2. Step 2: Convert to fraction form
    162,004.80/242,974.80 = 77,764.80/x
  3. Step 3: Cross multiply
    162,004.80x = 242,974.80 × 77,764.80
  4. Step 4: Simplify right side
    162,004.80x = 18,894,886,727.04
  5. Step 5: Solve for x
    x = 18,894,886,727.04/162,004.80
  6. Step 6: Final answer
    x = 116,631.65

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1.5x scale

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.