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Finding the Fourth Proportional to 209,967.69, 314,957 and 60,201.93

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Solution

The fourth proportional to 209,967.69, 314,957 and 60,201.93 is: 90,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,967.69 : 314,957 = 60,201.93 : x
  2. Step 2: Convert to fraction form
    209,967.69/314,957 = 60,201.93/x
  3. Step 3: Cross multiply
    209,967.69x = 314,957 × 60,201.93
  4. Step 4: Simplify right side
    209,967.69x = 18,961,019,267.01
  5. Step 5: Solve for x
    x = 18,961,019,267.01/209,967.69
  6. Step 6: Final answer
    x = 90,304.46

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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.