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Finding the Fourth Proportional to 171,038.40, 256,448.93 and 150,020.65

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Solution

The fourth proportional to 171,038.40, 256,448.93 and 150,020.65 is: 224,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,038.40 : 256,448.93 = 150,020.65 : x
  2. Step 2: Convert to fraction form
    171,038.40/256,448.93 = 150,020.65/x
  3. Step 3: Cross multiply
    171,038.40x = 256,448.93 × 150,020.65
  4. Step 4: Simplify right side
    171,038.40x = 38,472,633,888.16
  5. Step 5: Solve for x
    x = 38,472,633,888.16/171,038.40
  6. Step 6: Final answer
    x = 224,935.65

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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.