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Finding the Fourth Proportional to 189,365.90, 283,833.02 and 118,321.34

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Solution

The fourth proportional to 189,365.90, 283,833.02 and 118,321.34 is: 177,347.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,365.90 : 283,833.02 = 118,321.34 : x
  2. Step 2: Convert to fraction form
    189,365.90/283,833.02 = 118,321.34/x
  3. Step 3: Cross multiply
    189,365.90x = 283,833.02 × 118,321.34
  4. Step 4: Simplify right side
    189,365.90x = 33,583,502,139.29
  5. Step 5: Solve for x
    x = 33,583,502,139.29/189,365.90
  6. Step 6: Final answer
    x = 177,347.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.