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Finding the Fourth Proportional to 178,225.87, 245,954.73 and 97,661.25

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Solution

The fourth proportional to 178,225.87, 245,954.73 and 97,661.25 is: 134,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,225.87 : 245,954.73 = 97,661.25 : x
  2. Step 2: Convert to fraction form
    178,225.87/245,954.73 = 97,661.25/x
  3. Step 3: Cross multiply
    178,225.87x = 245,954.73 × 97,661.25
  4. Step 4: Simplify right side
    178,225.87x = 24,020,246,375.21
  5. Step 5: Solve for x
    x = 24,020,246,375.21/178,225.87
  6. Step 6: Final answer
    x = 134,774.19

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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.