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Finding the Fourth Proportional to 119,283.60, 164,437.62 and 83,361.98

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Solution

The fourth proportional to 119,283.60, 164,437.62 and 83,361.98 is: 114,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,283.60 : 164,437.62 = 83,361.98 : x
  2. Step 2: Convert to fraction form
    119,283.60/164,437.62 = 83,361.98/x
  3. Step 3: Cross multiply
    119,283.60x = 164,437.62 × 83,361.98
  4. Step 4: Simplify right side
    119,283.60x = 13,707,845,589.69
  5. Step 5: Solve for x
    x = 13,707,845,589.69/119,283.60
  6. Step 6: Final answer
    x = 114,918.11

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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.