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Finding the Fourth Proportional to 223,570.64, 308,533.32 and 122,971.28

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Solution

The fourth proportional to 223,570.64, 308,533.32 and 122,971.28 is: 169,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,570.64 : 308,533.32 = 122,971.28 : x
  2. Step 2: Convert to fraction form
    223,570.64/308,533.32 = 122,971.28/x
  3. Step 3: Cross multiply
    223,570.64x = 308,533.32 × 122,971.28
  4. Step 4: Simplify right side
    223,570.64x = 37,940,737,283.05
  5. Step 5: Solve for x
    x = 37,940,737,283.05/223,570.64
  6. Step 6: Final answer
    x = 169,703.58

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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.