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Finding the Fourth Proportional to 201,403.67, 277,858.40 and 115,316.64

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Solution

The fourth proportional to 201,403.67, 277,858.40 and 115,316.64 is: 159,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,403.67 : 277,858.40 = 115,316.64 : x
  2. Step 2: Convert to fraction form
    201,403.67/277,858.40 = 115,316.64/x
  3. Step 3: Cross multiply
    201,403.67x = 277,858.40 × 115,316.64
  4. Step 4: Simplify right side
    201,403.67x = 32,041,697,083.78
  5. Step 5: Solve for x
    x = 32,041,697,083.78/201,403.67
  6. Step 6: Final answer
    x = 159,091.92

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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.