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Finding the Fourth Proportional to 146,096.66, 218,978.89 and 61,804.21

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Solution

The fourth proportional to 146,096.66, 218,978.89 and 61,804.21 is: 92,636.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,096.66 : 218,978.89 = 61,804.21 : x
  2. Step 2: Convert to fraction form
    146,096.66/218,978.89 = 61,804.21/x
  3. Step 3: Cross multiply
    146,096.66x = 218,978.89 × 61,804.21
  4. Step 4: Simplify right side
    146,096.66x = 13,533,817,303.13
  5. Step 5: Solve for x
    x = 13,533,817,303.13/146,096.66
  6. Step 6: Final answer
    x = 92,636.05

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Why These Related Problems?

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