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Finding the Fourth Proportional to 608,746.80, 913,249.80 and 188,065.20

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Solution

The fourth proportional to 608,746.80, 913,249.80 and 188,065.20 is: 282,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,746.80 : 913,249.80 = 188,065.20 : x
  2. Step 2: Convert to fraction form
    608,746.80/913,249.80 = 188,065.20/x
  3. Step 3: Cross multiply
    608,746.80x = 913,249.80 × 188,065.20
  4. Step 4: Simplify right side
    608,746.80x = 171,750,506,286.96
  5. Step 5: Solve for x
    x = 171,750,506,286.96/608,746.80
  6. Step 6: Final answer
    x = 282,137.84

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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.