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Finding the Fourth Proportional to 205,152.36, 307,697.72 and 64,892.76

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Solution

The fourth proportional to 205,152.36, 307,697.72 and 64,892.76 is: 97,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,152.36 : 307,697.72 = 64,892.76 : x
  2. Step 2: Convert to fraction form
    205,152.36/307,697.72 = 64,892.76/x
  3. Step 3: Cross multiply
    205,152.36x = 307,697.72 × 64,892.76
  4. Step 4: Simplify right side
    205,152.36x = 19,967,354,296.51
  5. Step 5: Solve for x
    x = 19,967,354,296.51/205,152.36
  6. Step 6: Final answer
    x = 97,329.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.