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Finding the Fourth Proportional to 223,102, 334,705.92 and 75,358

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Solution

The fourth proportional to 223,102, 334,705.92 and 75,358 is: 113,054.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,102 : 334,705.92 = 75,358 : x
  2. Step 2: Convert to fraction form
    223,102/334,705.92 = 75,358/x
  3. Step 3: Cross multiply
    223,102x = 334,705.92 × 75,358
  4. Step 4: Simplify right side
    223,102x = 25,222,768,719.36
  5. Step 5: Solve for x
    x = 25,222,768,719.36/223,102
  6. Step 6: Final answer
    x = 113,054.87

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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.