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Finding the Fourth Proportional to 123,075.60, 184,224.60 and 96,637.20

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Solution

The fourth proportional to 123,075.60, 184,224.60 and 96,637.20 is: 144,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,075.60 : 184,224.60 = 96,637.20 : x
  2. Step 2: Convert to fraction form
    123,075.60/184,224.60 = 96,637.20/x
  3. Step 3: Cross multiply
    123,075.60x = 184,224.60 × 96,637.20
  4. Step 4: Simplify right side
    123,075.60x = 17,802,949,515.12
  5. Step 5: Solve for x
    x = 17,802,949,515.12/123,075.60
  6. Step 6: Final answer
    x = 144,650.52

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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.