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Finding the Fourth Proportional to 133,594.22, 184,390.35 and 83,283.50

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Solution

The fourth proportional to 133,594.22, 184,390.35 and 83,283.50 is: 114,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,594.22 : 184,390.35 = 83,283.50 : x
  2. Step 2: Convert to fraction form
    133,594.22/184,390.35 = 83,283.50/x
  3. Step 3: Cross multiply
    133,594.22x = 184,390.35 × 83,283.50
  4. Step 4: Simplify right side
    133,594.22x = 15,356,673,714.23
  5. Step 5: Solve for x
    x = 15,356,673,714.23/133,594.22
  6. Step 6: Final answer
    x = 114,950.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.