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Finding the Fourth Proportional to 158,567.58, 218,938.06 and 102,077.36

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Solution

The fourth proportional to 158,567.58, 218,938.06 and 102,077.36 is: 140,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,567.58 : 218,938.06 = 102,077.36 : x
  2. Step 2: Convert to fraction form
    158,567.58/218,938.06 = 102,077.36/x
  3. Step 3: Cross multiply
    158,567.58x = 218,938.06 × 102,077.36
  4. Step 4: Simplify right side
    158,567.58x = 22,348,619,168.32
  5. Step 5: Solve for x
    x = 22,348,619,168.32/158,567.58
  6. Step 6: Final answer
    x = 140,940.66

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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.