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Finding the Fourth Proportional to 255,226, 383,014.32 and 89,014

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Solution

The fourth proportional to 255,226, 383,014.32 and 89,014 is: 133,582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,226 : 383,014.32 = 89,014 : x
  2. Step 2: Convert to fraction form
    255,226/383,014.32 = 89,014/x
  3. Step 3: Cross multiply
    255,226x = 383,014.32 × 89,014
  4. Step 4: Simplify right side
    255,226x = 34,093,636,680.48
  5. Step 5: Solve for x
    x = 34,093,636,680.48/255,226
  6. Step 6: Final answer
    x = 133,582.15

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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.