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Finding the Fourth Proportional to 138,415.12, 190,813.80 and 98,602

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Solution

The fourth proportional to 138,415.12, 190,813.80 and 98,602 is: 135,928.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,415.12 : 190,813.80 = 98,602 : x
  2. Step 2: Convert to fraction form
    138,415.12/190,813.80 = 98,602/x
  3. Step 3: Cross multiply
    138,415.12x = 190,813.80 × 98,602
  4. Step 4: Simplify right side
    138,415.12x = 18,814,622,307.60
  5. Step 5: Solve for x
    x = 18,814,622,307.60/138,415.12
  6. Step 6: Final answer
    x = 135,928.95

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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.