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Finding the Fourth Proportional to 223,157.54, 307,868.36 and 142,564.16

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Solution

The fourth proportional to 223,157.54, 307,868.36 and 142,564.16 is: 196,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,157.54 : 307,868.36 = 142,564.16 : x
  2. Step 2: Convert to fraction form
    223,157.54/307,868.36 = 142,564.16/x
  3. Step 3: Cross multiply
    223,157.54x = 307,868.36 × 142,564.16
  4. Step 4: Simplify right side
    223,157.54x = 43,890,994,133.98
  5. Step 5: Solve for x
    x = 43,890,994,133.98/223,157.54
  6. Step 6: Final answer
    x = 196,681.65

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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.