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Finding the Fourth Proportional to 123,056.48, 184,455.12 and 63,829.28

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Solution

The fourth proportional to 123,056.48, 184,455.12 and 63,829.28 is: 95,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,056.48 : 184,455.12 = 63,829.28 : x
  2. Step 2: Convert to fraction form
    123,056.48/184,455.12 = 63,829.28/x
  3. Step 3: Cross multiply
    123,056.48x = 184,455.12 × 63,829.28
  4. Step 4: Simplify right side
    123,056.48x = 11,773,637,501.91
  5. Step 5: Solve for x
    x = 11,773,637,501.91/123,056.48
  6. Step 6: Final answer
    x = 95,676.70

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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.