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Finding the Fourth Proportional to 201,301.76, 277,802.64 and 110,664.65

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Solution

The fourth proportional to 201,301.76, 277,802.64 and 110,664.65 is: 152,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,301.76 : 277,802.64 = 110,664.65 : x
  2. Step 2: Convert to fraction form
    201,301.76/277,802.64 = 110,664.65/x
  3. Step 3: Cross multiply
    201,301.76x = 277,802.64 × 110,664.65
  4. Step 4: Simplify right side
    201,301.76x = 30,742,930,535.66
  5. Step 5: Solve for x
    x = 30,742,930,535.66/201,301.76
  6. Step 6: Final answer
    x = 152,720.63

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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.