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Finding the Fourth Proportional to 136,483.32, 204,724.98 and 53,319

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Solution

The fourth proportional to 136,483.32, 204,724.98 and 53,319 is: 79,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,483.32 : 204,724.98 = 53,319 : x
  2. Step 2: Convert to fraction form
    136,483.32/204,724.98 = 53,319/x
  3. Step 3: Cross multiply
    136,483.32x = 204,724.98 × 53,319
  4. Step 4: Simplify right side
    136,483.32x = 10,915,731,208.62
  5. Step 5: Solve for x
    x = 10,915,731,208.62/136,483.32
  6. Step 6: Final answer
    x = 79,978.50

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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.