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Finding the Fourth Proportional to 200,960.49, 301,159.28 and 151,008.74

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Solution

The fourth proportional to 200,960.49, 301,159.28 and 151,008.74 is: 226,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,960.49 : 301,159.28 = 151,008.74 : x
  2. Step 2: Convert to fraction form
    200,960.49/301,159.28 = 151,008.74/x
  3. Step 3: Cross multiply
    200,960.49x = 301,159.28 × 151,008.74
  4. Step 4: Simplify right side
    200,960.49x = 45,477,683,413.18
  5. Step 5: Solve for x
    x = 45,477,683,413.18/200,960.49
  6. Step 6: Final answer
    x = 226,301.61

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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.