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Finding the Fourth Proportional to 222,596.14, 333,746.58 and 72,783.94

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Solution

The fourth proportional to 222,596.14, 333,746.58 and 72,783.94 is: 109,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,596.14 : 333,746.58 = 72,783.94 : x
  2. Step 2: Convert to fraction form
    222,596.14/333,746.58 = 72,783.94/x
  3. Step 3: Cross multiply
    222,596.14x = 333,746.58 × 72,783.94
  4. Step 4: Simplify right side
    222,596.14x = 24,291,391,053.93
  5. Step 5: Solve for x
    x = 24,291,391,053.93/222,596.14
  6. Step 6: Final answer
    x = 109,127.64

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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.