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Finding the Fourth Proportional to 255,202.68, 382,704.66 and 105,467.16

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Solution

The fourth proportional to 255,202.68, 382,704.66 and 105,467.16 is: 158,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,202.68 : 382,704.66 = 105,467.16 : x
  2. Step 2: Convert to fraction form
    255,202.68/382,704.66 = 105,467.16/x
  3. Step 3: Cross multiply
    255,202.68x = 382,704.66 × 105,467.16
  4. Step 4: Simplify right side
    255,202.68x = 40,362,773,608.97
  5. Step 5: Solve for x
    x = 40,362,773,608.97/255,202.68
  6. Step 6: Final answer
    x = 158,159.68

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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.