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Finding the Fourth Proportional to 228,528, 342,923.24 and 178,467.57

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Solution

The fourth proportional to 228,528, 342,923.24 and 178,467.57 is: 267,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,528 : 342,923.24 = 178,467.57 : x
  2. Step 2: Convert to fraction form
    228,528/342,923.24 = 178,467.57/x
  3. Step 3: Cross multiply
    228,528x = 342,923.24 × 178,467.57
  4. Step 4: Simplify right side
    228,528x = 61,200,677,785.50
  5. Step 5: Solve for x
    x = 61,200,677,785.50/228,528
  6. Step 6: Final answer
    x = 267,803.85

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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.