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Finding the Fourth Proportional to 152,141.64, 209,884.76 and 98,443.96

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Solution

The fourth proportional to 152,141.64, 209,884.76 and 98,443.96 is: 135,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,141.64 : 209,884.76 = 98,443.96 : x
  2. Step 2: Convert to fraction form
    152,141.64/209,884.76 = 98,443.96/x
  3. Step 3: Cross multiply
    152,141.64x = 209,884.76 × 98,443.96
  4. Step 4: Simplify right side
    152,141.64x = 20,661,886,918.05
  5. Step 5: Solve for x
    x = 20,661,886,918.05/152,141.64
  6. Step 6: Final answer
    x = 135,806.92

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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.