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Finding the Fourth Proportional to 178,354.64, 246,129.33 and 97,780.43

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Solution

The fourth proportional to 178,354.64, 246,129.33 and 97,780.43 is: 134,936.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,354.64 : 246,129.33 = 97,780.43 : x
  2. Step 2: Convert to fraction form
    178,354.64/246,129.33 = 97,780.43/x
  3. Step 3: Cross multiply
    178,354.64x = 246,129.33 × 97,780.43
  4. Step 4: Simplify right side
    178,354.64x = 24,066,630,492.37
  5. Step 5: Solve for x
    x = 24,066,630,492.37/178,354.64
  6. Step 6: Final answer
    x = 134,936.95

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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.