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Finding the Fourth Proportional to 224,062.76, 309,140.28 and 133,346

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Solution

The fourth proportional to 224,062.76, 309,140.28 and 133,346 is: 183,978.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,062.76 : 309,140.28 = 133,346 : x
  2. Step 2: Convert to fraction form
    224,062.76/309,140.28 = 133,346/x
  3. Step 3: Cross multiply
    224,062.76x = 309,140.28 × 133,346
  4. Step 4: Simplify right side
    224,062.76x = 41,222,619,776.88
  5. Step 5: Solve for x
    x = 41,222,619,776.88/224,062.76
  6. Step 6: Final answer
    x = 183,978.01

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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.