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Finding the Fourth Proportional to 150,576.65, 225,869.55 and 38,256.89

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Solution

The fourth proportional to 150,576.65, 225,869.55 and 38,256.89 is: 57,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,576.65 : 225,869.55 = 38,256.89 : x
  2. Step 2: Convert to fraction form
    150,576.65/225,869.55 = 38,256.89/x
  3. Step 3: Cross multiply
    150,576.65x = 225,869.55 × 38,256.89
  4. Step 4: Simplify right side
    150,576.65x = 8,641,066,526.40
  5. Step 5: Solve for x
    x = 8,641,066,526.40/150,576.65
  6. Step 6: Final answer
    x = 57,386.50

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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.