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Finding the Fourth Proportional to 255,523.14, 383,009.52 and 122,119.80

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Solution

The fourth proportional to 255,523.14, 383,009.52 and 122,119.80 is: 183,048.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,523.14 : 383,009.52 = 122,119.80 : x
  2. Step 2: Convert to fraction form
    255,523.14/383,009.52 = 122,119.80/x
  3. Step 3: Cross multiply
    255,523.14x = 383,009.52 × 122,119.80
  4. Step 4: Simplify right side
    255,523.14x = 46,773,045,980.50
  5. Step 5: Solve for x
    x = 46,773,045,980.50/255,523.14
  6. Step 6: Final answer
    x = 183,048.18

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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.