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Finding the Fourth Proportional to 255,608.16, 383,582.88 and 89,396.16

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Solution

The fourth proportional to 255,608.16, 383,582.88 and 89,396.16 is: 134,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,608.16 : 383,582.88 = 89,396.16 : x
  2. Step 2: Convert to fraction form
    255,608.16/383,582.88 = 89,396.16/x
  3. Step 3: Cross multiply
    255,608.16x = 383,582.88 × 89,396.16
  4. Step 4: Simplify right side
    255,608.16x = 34,290,836,513.74
  5. Step 5: Solve for x
    x = 34,290,836,513.74/255,608.16
  6. Step 6: Final answer
    x = 134,153.92

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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.