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Finding the Fourth Proportional to 309,208.32, 426,718.08 and 180,138.24

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Solution

The fourth proportional to 309,208.32, 426,718.08 and 180,138.24 is: 248,596.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,208.32 : 426,718.08 = 180,138.24 : x
  2. Step 2: Convert to fraction form
    309,208.32/426,718.08 = 180,138.24/x
  3. Step 3: Cross multiply
    309,208.32x = 426,718.08 × 180,138.24
  4. Step 4: Simplify right side
    309,208.32x = 76,868,243,907.38
  5. Step 5: Solve for x
    x = 76,868,243,907.38/309,208.32
  6. Step 6: Final answer
    x = 248,596.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.