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Finding the Fourth Proportional to 222,683.84, 334,081.12 and 64,913.68

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Solution

The fourth proportional to 222,683.84, 334,081.12 and 64,913.68 is: 97,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,683.84 : 334,081.12 = 64,913.68 : x
  2. Step 2: Convert to fraction form
    222,683.84/334,081.12 = 64,913.68/x
  3. Step 3: Cross multiply
    222,683.84x = 334,081.12 × 64,913.68
  4. Step 4: Simplify right side
    222,683.84x = 21,686,434,917.72
  5. Step 5: Solve for x
    x = 21,686,434,917.72/222,683.84
  6. Step 6: Final answer
    x = 97,386.66

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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.