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Finding the Fourth Proportional to 152,339.41, 210,228.26 and 84,356.38

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Solution

The fourth proportional to 152,339.41, 210,228.26 and 84,356.38 is: 116,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,339.41 : 210,228.26 = 84,356.38 : x
  2. Step 2: Convert to fraction form
    152,339.41/210,228.26 = 84,356.38/x
  3. Step 3: Cross multiply
    152,339.41x = 210,228.26 × 84,356.38
  4. Step 4: Simplify right side
    152,339.41x = 17,734,095,380.65
  5. Step 5: Solve for x
    x = 17,734,095,380.65/152,339.41
  6. Step 6: Final answer
    x = 116,411.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.