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Finding the Fourth Proportional to 286,715.20, 430,072.80 and 146,747.20

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Solution

The fourth proportional to 286,715.20, 430,072.80 and 146,747.20 is: 220,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,715.20 : 430,072.80 = 146,747.20 : x
  2. Step 2: Convert to fraction form
    286,715.20/430,072.80 = 146,747.20/x
  3. Step 3: Cross multiply
    286,715.20x = 430,072.80 × 146,747.20
  4. Step 4: Simplify right side
    286,715.20x = 63,111,979,196.16
  5. Step 5: Solve for x
    x = 63,111,979,196.16/286,715.20
  6. Step 6: Final answer
    x = 220,120.80

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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.