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Finding the Fourth Proportional to 197,758.64, 296,637.78 and 79,430

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Solution

The fourth proportional to 197,758.64, 296,637.78 and 79,430 is: 119,144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,758.64 : 296,637.78 = 79,430 : x
  2. Step 2: Convert to fraction form
    197,758.64/296,637.78 = 79,430/x
  3. Step 3: Cross multiply
    197,758.64x = 296,637.78 × 79,430
  4. Step 4: Simplify right side
    197,758.64x = 23,561,938,865.40
  5. Step 5: Solve for x
    x = 23,561,938,865.40/197,758.64
  6. Step 6: Final answer
    x = 119,144.93

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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.