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Finding the Fourth Proportional to 103,467.93, 155,103.47 and 65,922.60

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Solution

The fourth proportional to 103,467.93, 155,103.47 and 65,922.60 is: 98,821.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,467.93 : 155,103.47 = 65,922.60 : x
  2. Step 2: Convert to fraction form
    103,467.93/155,103.47 = 65,922.60/x
  3. Step 3: Cross multiply
    103,467.93x = 155,103.47 × 65,922.60
  4. Step 4: Simplify right side
    103,467.93x = 10,224,823,681.81
  5. Step 5: Solve for x
    x = 10,224,823,681.81/103,467.93
  6. Step 6: Final answer
    x = 98,821.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.