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Finding the Fourth Proportional to 224,273.76, 336,410.64 and 105,957

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Solution

The fourth proportional to 224,273.76, 336,410.64 and 105,957 is: 158,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,273.76 : 336,410.64 = 105,957 : x
  2. Step 2: Convert to fraction form
    224,273.76/336,410.64 = 105,957/x
  3. Step 3: Cross multiply
    224,273.76x = 336,410.64 × 105,957
  4. Step 4: Simplify right side
    224,273.76x = 35,645,062,182.48
  5. Step 5: Solve for x
    x = 35,645,062,182.48/224,273.76
  6. Step 6: Final answer
    x = 158,935.50

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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.