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Finding the Fourth Proportional to 242,447.20, 363,670.80 and 64,981.60

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Solution

The fourth proportional to 242,447.20, 363,670.80 and 64,981.60 is: 97,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,447.20 : 363,670.80 = 64,981.60 : x
  2. Step 2: Convert to fraction form
    242,447.20/363,670.80 = 64,981.60/x
  3. Step 3: Cross multiply
    242,447.20x = 363,670.80 × 64,981.60
  4. Step 4: Simplify right side
    242,447.20x = 23,631,910,457.28
  5. Step 5: Solve for x
    x = 23,631,910,457.28/242,447.20
  6. Step 6: Final answer
    x = 97,472.40

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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.