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Finding the Fourth Proportional to 178,464.48, 246,288 and 97,894.96

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Solution

The fourth proportional to 178,464.48, 246,288 and 97,894.96 is: 135,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,464.48 : 246,288 = 97,894.96 : x
  2. Step 2: Convert to fraction form
    178,464.48/246,288 = 97,894.96/x
  3. Step 3: Cross multiply
    178,464.48x = 246,288 × 97,894.96
  4. Step 4: Simplify right side
    178,464.48x = 24,110,353,908.48
  5. Step 5: Solve for x
    x = 24,110,353,908.48/178,464.48
  6. Step 6: Final answer
    x = 135,098.89

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1.5x scale

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.