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Finding the Fourth Proportional to 201,448.02, 277,978.96 and 110,802.54

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Solution

The fourth proportional to 201,448.02, 277,978.96 and 110,802.54 is: 152,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,448.02 : 277,978.96 = 110,802.54 : x
  2. Step 2: Convert to fraction form
    201,448.02/277,978.96 = 110,802.54/x
  3. Step 3: Cross multiply
    201,448.02x = 277,978.96 × 110,802.54
  4. Step 4: Simplify right side
    201,448.02x = 30,800,774,834.56
  5. Step 5: Solve for x
    x = 30,800,774,834.56/201,448.02
  6. Step 6: Final answer
    x = 152,896.89

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1.5x scale

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.