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Finding the Fourth Proportional to 123,323.40, 184,985.10 and 106,410.60

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Solution

The fourth proportional to 123,323.40, 184,985.10 and 106,410.60 is: 159,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,323.40 : 184,985.10 = 106,410.60 : x
  2. Step 2: Convert to fraction form
    123,323.40/184,985.10 = 106,410.60/x
  3. Step 3: Cross multiply
    123,323.40x = 184,985.10 × 106,410.60
  4. Step 4: Simplify right side
    123,323.40x = 19,684,375,482.06
  5. Step 5: Solve for x
    x = 19,684,375,482.06/123,323.40
  6. Step 6: Final answer
    x = 159,615.90

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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.