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Finding the Fourth Proportional to 178,088.75, 245,768.04 and 97,523.92

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Solution

The fourth proportional to 178,088.75, 245,768.04 and 97,523.92 is: 134,586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,088.75 : 245,768.04 = 97,523.92 : x
  2. Step 2: Convert to fraction form
    178,088.75/245,768.04 = 97,523.92/x
  3. Step 3: Cross multiply
    178,088.75x = 245,768.04 × 97,523.92
  4. Step 4: Simplify right side
    178,088.75x = 23,968,262,183.90
  5. Step 5: Solve for x
    x = 23,968,262,183.90/178,088.75
  6. Step 6: Final answer
    x = 134,586.05

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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.