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Finding the Fourth Proportional to 178,354.96, 246,128.25 and 97,781.02

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Solution

The fourth proportional to 178,354.96, 246,128.25 and 97,781.02 is: 134,936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,354.96 : 246,128.25 = 97,781.02 : x
  2. Step 2: Convert to fraction form
    178,354.96/246,128.25 = 97,781.02/x
  3. Step 3: Cross multiply
    178,354.96x = 246,128.25 × 97,781.02
  4. Step 4: Simplify right side
    178,354.96x = 24,066,671,335.82
  5. Step 5: Solve for x
    x = 24,066,671,335.82/178,354.96
  6. Step 6: Final answer
    x = 134,936.93

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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.