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Finding the Fourth Proportional to 119,146.64, 164,422.56 and 65,435.12

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Solution

The fourth proportional to 119,146.64, 164,422.56 and 65,435.12 is: 90,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,146.64 : 164,422.56 = 65,435.12 : x
  2. Step 2: Convert to fraction form
    119,146.64/164,422.56 = 65,435.12/x
  3. Step 3: Cross multiply
    119,146.64x = 164,422.56 × 65,435.12
  4. Step 4: Simplify right side
    119,146.64x = 10,759,009,944.31
  5. Step 5: Solve for x
    x = 10,759,009,944.31/119,146.64
  6. Step 6: Final answer
    x = 90,300.57

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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.