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Finding the Fourth Proportional to 184,196, 276,294 and 59,537

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Solution

The fourth proportional to 184,196, 276,294 and 59,537 is: 89,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,196 : 276,294 = 59,537 : x
  2. Step 2: Convert to fraction form
    184,196/276,294 = 59,537/x
  3. Step 3: Cross multiply
    184,196x = 276,294 × 59,537
  4. Step 4: Simplify right side
    184,196x = 16,449,715,878
  5. Step 5: Solve for x
    x = 16,449,715,878/184,196
  6. Step 6: Final answer
    x = 89,305.50

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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.