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Finding the Fourth Proportional to 189,094.53, 283,641.81 and 110,208.45

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Solution

The fourth proportional to 189,094.53, 283,641.81 and 110,208.45 is: 165,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,094.53 : 283,641.81 = 110,208.45 : x
  2. Step 2: Convert to fraction form
    189,094.53/283,641.81 = 110,208.45/x
  3. Step 3: Cross multiply
    189,094.53x = 283,641.81 × 110,208.45
  4. Step 4: Simplify right side
    189,094.53x = 31,259,724,235.29
  5. Step 5: Solve for x
    x = 31,259,724,235.29/189,094.53
  6. Step 6: Final answer
    x = 165,312.68

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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.