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Finding the Fourth Proportional to 123,201.60, 184,802.40 and 97,832.40

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Solution

The fourth proportional to 123,201.60, 184,802.40 and 97,832.40 is: 146,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,201.60 : 184,802.40 = 97,832.40 : x
  2. Step 2: Convert to fraction form
    123,201.60/184,802.40 = 97,832.40/x
  3. Step 3: Cross multiply
    123,201.60x = 184,802.40 × 97,832.40
  4. Step 4: Simplify right side
    123,201.60x = 18,079,662,317.76
  5. Step 5: Solve for x
    x = 18,079,662,317.76/123,201.60
  6. Step 6: Final answer
    x = 146,748.60

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1.5x scale

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.