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Finding the Fourth Proportional to 197,415, 296,143.20 and 64,305.60

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Solution

The fourth proportional to 197,415, 296,143.20 and 64,305.60 is: 96,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,415 : 296,143.20 = 64,305.60 : x
  2. Step 2: Convert to fraction form
    197,415/296,143.20 = 64,305.60/x
  3. Step 3: Cross multiply
    197,415x = 296,143.20 × 64,305.60
  4. Step 4: Simplify right side
    197,415x = 19,043,666,161.92
  5. Step 5: Solve for x
    x = 19,043,666,161.92/197,415
  6. Step 6: Final answer
    x = 96,465.14

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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.