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Finding the Fourth Proportional to 214,323.20, 295,782.74 and 118,848.50

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Solution

The fourth proportional to 214,323.20, 295,782.74 and 118,848.50 is: 164,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,323.20 : 295,782.74 = 118,848.50 : x
  2. Step 2: Convert to fraction form
    214,323.20/295,782.74 = 118,848.50/x
  3. Step 3: Cross multiply
    214,323.20x = 295,782.74 × 118,848.50
  4. Step 4: Simplify right side
    214,323.20x = 35,153,332,901.73
  5. Step 5: Solve for x
    x = 35,153,332,901.73/214,323.20
  6. Step 6: Final answer
    x = 164,020.20

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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.