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Finding the Fourth Proportional to 152,357.68, 228,541.38 and 47,177.56

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Solution

The fourth proportional to 152,357.68, 228,541.38 and 47,177.56 is: 70,767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,357.68 : 228,541.38 = 47,177.56 : x
  2. Step 2: Convert to fraction form
    152,357.68/228,541.38 = 47,177.56/x
  3. Step 3: Cross multiply
    152,357.68x = 228,541.38 × 47,177.56
  4. Step 4: Simplify right side
    152,357.68x = 10,782,024,667.43
  5. Step 5: Solve for x
    x = 10,782,024,667.43/152,357.68
  6. Step 6: Final answer
    x = 70,767.84

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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.