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Finding the Fourth Proportional to 201,302.38, 277,800.79 and 110,662.16

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Solution

The fourth proportional to 201,302.38, 277,800.79 and 110,662.16 is: 152,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,302.38 : 277,800.79 = 110,662.16 : x
  2. Step 2: Convert to fraction form
    201,302.38/277,800.79 = 110,662.16/x
  3. Step 3: Cross multiply
    201,302.38x = 277,800.79 × 110,662.16
  4. Step 4: Simplify right side
    201,302.38x = 30,742,035,471.11
  5. Step 5: Solve for x
    x = 30,742,035,471.11/201,302.38
  6. Step 6: Final answer
    x = 152,715.71

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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.