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Finding the Fourth Proportional to 223,106.04, 307,797.30 and 142,512.66

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Solution

The fourth proportional to 223,106.04, 307,797.30 and 142,512.66 is: 196,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,106.04 : 307,797.30 = 142,512.66 : x
  2. Step 2: Convert to fraction form
    223,106.04/307,797.30 = 142,512.66/x
  3. Step 3: Cross multiply
    223,106.04x = 307,797.30 × 142,512.66
  4. Step 4: Simplify right side
    223,106.04x = 43,865,011,963.82
  5. Step 5: Solve for x
    x = 43,865,011,963.82/223,106.04
  6. Step 6: Final answer
    x = 196,610.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.