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Finding the Fourth Proportional to 255,692.16, 383,708.88 and 89,480.16

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Solution

The fourth proportional to 255,692.16, 383,708.88 and 89,480.16 is: 134,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,692.16 : 383,708.88 = 89,480.16 : x
  2. Step 2: Convert to fraction form
    255,692.16/383,708.88 = 89,480.16/x
  3. Step 3: Cross multiply
    255,692.16x = 383,708.88 × 89,480.16
  4. Step 4: Simplify right side
    255,692.16x = 34,334,331,975.82
  5. Step 5: Solve for x
    x = 34,334,331,975.82/255,692.16
  6. Step 6: Final answer
    x = 134,279.96

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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.