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Finding the Fourth Proportional to 123,386.22, 184,798.32 and 96,564.90

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Solution

The fourth proportional to 123,386.22, 184,798.32 and 96,564.90 is: 144,627.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,386.22 : 184,798.32 = 96,564.90 : x
  2. Step 2: Convert to fraction form
    123,386.22/184,798.32 = 96,564.90/x
  3. Step 3: Cross multiply
    123,386.22x = 184,798.32 × 96,564.90
  4. Step 4: Simplify right side
    123,386.22x = 17,845,031,290.97
  5. Step 5: Solve for x
    x = 17,845,031,290.97/123,386.22
  6. Step 6: Final answer
    x = 144,627.43

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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.