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Finding the Fourth Proportional to 225,946.92, 311,796.22 and 123,970.08

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Solution

The fourth proportional to 225,946.92, 311,796.22 and 123,970.08 is: 171,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,946.92 : 311,796.22 = 123,970.08 : x
  2. Step 2: Convert to fraction form
    225,946.92/311,796.22 = 123,970.08/x
  3. Step 3: Cross multiply
    225,946.92x = 311,796.22 × 123,970.08
  4. Step 4: Simplify right side
    225,946.92x = 38,653,402,337.10
  5. Step 5: Solve for x
    x = 38,653,402,337.10/225,946.92
  6. Step 6: Final answer
    x = 171,072.93

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1.5x scale

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.