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Finding the Fourth Proportional to 133,968, 184,875.84 and 74,352

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Solution

The fourth proportional to 133,968, 184,875.84 and 74,352 is: 102,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,968 : 184,875.84 = 74,352 : x
  2. Step 2: Convert to fraction form
    133,968/184,875.84 = 74,352/x
  3. Step 3: Cross multiply
    133,968x = 184,875.84 × 74,352
  4. Step 4: Simplify right side
    133,968x = 13,745,888,455.68
  5. Step 5: Solve for x
    x = 13,745,888,455.68/133,968
  6. Step 6: Final answer
    x = 102,605.76

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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.