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Finding the Fourth Proportional to 201,459.44, 277,802.96 and 150,390.27

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Solution

The fourth proportional to 201,459.44, 277,802.96 and 150,390.27 is: 207,381.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,459.44 : 277,802.96 = 150,390.27 : x
  2. Step 2: Convert to fraction form
    201,459.44/277,802.96 = 150,390.27/x
  3. Step 3: Cross multiply
    201,459.44x = 277,802.96 × 150,390.27
  4. Step 4: Simplify right side
    201,459.44x = 41,778,861,409.25
  5. Step 5: Solve for x
    x = 41,778,861,409.25/201,459.44
  6. Step 6: Final answer
    x = 207,381.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.