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Finding the Fourth Proportional to 133,592.22, 184,387.59 and 83,281.50

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Solution

The fourth proportional to 133,592.22, 184,387.59 and 83,281.50 is: 114,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,592.22 : 184,387.59 = 83,281.50 : x
  2. Step 2: Convert to fraction form
    133,592.22/184,387.59 = 83,281.50/x
  3. Step 3: Cross multiply
    133,592.22x = 184,387.59 × 83,281.50
  4. Step 4: Simplify right side
    133,592.22x = 15,356,075,076.59
  5. Step 5: Solve for x
    x = 15,356,075,076.59/133,592.22
  6. Step 6: Final answer
    x = 114,947.38

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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.