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Finding the Fourth Proportional to 133,654.50, 184,443.21 and 74,038.50

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Solution

The fourth proportional to 133,654.50, 184,443.21 and 74,038.50 is: 102,173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,654.50 : 184,443.21 = 74,038.50 : x
  2. Step 2: Convert to fraction form
    133,654.50/184,443.21 = 74,038.50/x
  3. Step 3: Cross multiply
    133,654.50x = 184,443.21 × 74,038.50
  4. Step 4: Simplify right side
    133,654.50x = 13,655,898,603.59
  5. Step 5: Solve for x
    x = 13,655,898,603.59/133,654.50
  6. Step 6: Final answer
    x = 102,173.13

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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.