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Finding the Fourth Proportional to 178,162.40, 245,864 and 97,589.20

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Solution

The fourth proportional to 178,162.40, 245,864 and 97,589.20 is: 134,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,162.40 : 245,864 = 97,589.20 : x
  2. Step 2: Convert to fraction form
    178,162.40/245,864 = 97,589.20/x
  3. Step 3: Cross multiply
    178,162.40x = 245,864 × 97,589.20
  4. Step 4: Simplify right side
    178,162.40x = 23,993,671,068.80
  5. Step 5: Solve for x
    x = 23,993,671,068.80/178,162.40
  6. Step 6: Final answer
    x = 134,673.03

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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.