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Finding the Fourth Proportional to 178,409.71, 246,205.72 and 97,837.81

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Solution

The fourth proportional to 178,409.71, 246,205.72 and 97,837.81 is: 135,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,409.71 : 246,205.72 = 97,837.81 : x
  2. Step 2: Convert to fraction form
    178,409.71/246,205.72 = 97,837.81/x
  3. Step 3: Cross multiply
    178,409.71x = 246,205.72 × 97,837.81
  4. Step 4: Simplify right side
    178,409.71x = 24,088,228,454.27
  5. Step 5: Solve for x
    x = 24,088,228,454.27/178,409.71
  6. Step 6: Final answer
    x = 135,016.35

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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.