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Finding the Fourth Proportional to 228,533.23, 342,931.12 and 178,472.80

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Solution

The fourth proportional to 228,533.23, 342,931.12 and 178,472.80 is: 267,811.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,533.23 : 342,931.12 = 178,472.80 : x
  2. Step 2: Convert to fraction form
    228,533.23/342,931.12 = 178,472.80/x
  3. Step 3: Cross multiply
    228,533.23x = 342,931.12 × 178,472.80
  4. Step 4: Simplify right side
    228,533.23x = 61,203,877,176.02
  5. Step 5: Solve for x
    x = 61,203,877,176.02/228,533.23
  6. Step 6: Final answer
    x = 267,811.72

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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.