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Finding the Fourth Proportional to 223,154.93, 334,732.32 and 65,383.34

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Solution

The fourth proportional to 223,154.93, 334,732.32 and 65,383.34 is: 98,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,154.93 : 334,732.32 = 65,383.34 : x
  2. Step 2: Convert to fraction form
    223,154.93/334,732.32 = 65,383.34/x
  3. Step 3: Cross multiply
    223,154.93x = 334,732.32 × 65,383.34
  4. Step 4: Simplify right side
    223,154.93x = 21,885,915,413.89
  5. Step 5: Solve for x
    x = 21,885,915,413.89/223,154.93
  6. Step 6: Final answer
    x = 98,074.98

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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.