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Finding the Fourth Proportional to 184,654.32, 276,981.53 and 142,595.88

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Solution

The fourth proportional to 184,654.32, 276,981.53 and 142,595.88 is: 213,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,654.32 : 276,981.53 = 142,595.88 : x
  2. Step 2: Convert to fraction form
    184,654.32/276,981.53 = 142,595.88/x
  3. Step 3: Cross multiply
    184,654.32x = 276,981.53 × 142,595.88
  4. Step 4: Simplify right side
    184,654.32x = 39,496,424,301.12
  5. Step 5: Solve for x
    x = 39,496,424,301.12/184,654.32
  6. Step 6: Final answer
    x = 213,893.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.