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Finding the Fourth Proportional to 116,141.60, 174,094.79 and 78,705.50

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Solution

The fourth proportional to 116,141.60, 174,094.79 and 78,705.50 is: 117,978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,141.60 : 174,094.79 = 78,705.50 : x
  2. Step 2: Convert to fraction form
    116,141.60/174,094.79 = 78,705.50/x
  3. Step 3: Cross multiply
    116,141.60x = 174,094.79 × 78,705.50
  4. Step 4: Simplify right side
    116,141.60x = 13,702,216,230.34
  5. Step 5: Solve for x
    x = 13,702,216,230.34/116,141.60
  6. Step 6: Final answer
    x = 117,978.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.