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Finding the Fourth Proportional to 119,147.64, 164,423.97 and 65,436.18

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Solution

The fourth proportional to 119,147.64, 164,423.97 and 65,436.18 is: 90,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,147.64 : 164,423.97 = 65,436.18 : x
  2. Step 2: Convert to fraction form
    119,147.64/164,423.97 = 65,436.18/x
  3. Step 3: Cross multiply
    119,147.64x = 164,423.97 × 65,436.18
  4. Step 4: Simplify right side
    119,147.64x = 10,759,276,497.23
  5. Step 5: Solve for x
    x = 10,759,276,497.23/119,147.64
  6. Step 6: Final answer
    x = 90,302.05

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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.