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Finding the Fourth Proportional to 223,141.50, 307,858.26 and 142,616.16

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Solution

The fourth proportional to 223,141.50, 307,858.26 and 142,616.16 is: 196,761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,141.50 : 307,858.26 = 142,616.16 : x
  2. Step 2: Convert to fraction form
    223,141.50/307,858.26 = 142,616.16/x
  3. Step 3: Cross multiply
    223,141.50x = 307,858.26 × 142,616.16
  4. Step 4: Simplify right side
    223,141.50x = 43,905,562,865.48
  5. Step 5: Solve for x
    x = 43,905,562,865.48/223,141.50
  6. Step 6: Final answer
    x = 196,761.08

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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.