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Finding the Fourth Proportional to 123,334.60, 184,703.70 and 70,584.16

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Solution

The fourth proportional to 123,334.60, 184,703.70 and 70,584.16 is: 105,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,334.60 : 184,703.70 = 70,584.16 : x
  2. Step 2: Convert to fraction form
    123,334.60/184,703.70 = 70,584.16/x
  3. Step 3: Cross multiply
    123,334.60x = 184,703.70 × 70,584.16
  4. Step 4: Simplify right side
    123,334.60x = 13,037,155,513.39
  5. Step 5: Solve for x
    x = 13,037,155,513.39/123,334.60
  6. Step 6: Final answer
    x = 105,705.58

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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.