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Finding the Fourth Proportional to 133,539.58, 184,284.65 and 73,114.06

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Solution

The fourth proportional to 133,539.58, 184,284.65 and 73,114.06 is: 100,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,539.58 : 184,284.65 = 73,114.06 : x
  2. Step 2: Convert to fraction form
    133,539.58/184,284.65 = 73,114.06/x
  3. Step 3: Cross multiply
    133,539.58x = 184,284.65 × 73,114.06
  4. Step 4: Simplify right side
    133,539.58x = 13,473,798,957.18
  5. Step 5: Solve for x
    x = 13,473,798,957.18/133,539.58
  6. Step 6: Final answer
    x = 100,897.42

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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.