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Finding the Fourth Proportional to 213,657.60, 294,835.53 and 116,842.35

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Solution

The fourth proportional to 213,657.60, 294,835.53 and 116,842.35 is: 161,235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,657.60 : 294,835.53 = 116,842.35 : x
  2. Step 2: Convert to fraction form
    213,657.60/294,835.53 = 116,842.35/x
  3. Step 3: Cross multiply
    213,657.60x = 294,835.53 × 116,842.35
  4. Step 4: Simplify right side
    213,657.60x = 34,449,276,188.70
  5. Step 5: Solve for x
    x = 34,449,276,188.70/213,657.60
  6. Step 6: Final answer
    x = 161,235.90

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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.