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Finding the Fourth Proportional to 255,314.42, 382,705.41 and 142,829.72

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Solution

The fourth proportional to 255,314.42, 382,705.41 and 142,829.72 is: 214,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,314.42 : 382,705.41 = 142,829.72 : x
  2. Step 2: Convert to fraction form
    255,314.42/382,705.41 = 142,829.72/x
  3. Step 3: Cross multiply
    255,314.42x = 382,705.41 × 142,829.72
  4. Step 4: Simplify right side
    255,314.42x = 54,661,706,552.79
  5. Step 5: Solve for x
    x = 54,661,706,552.79/255,314.42
  6. Step 6: Final answer
    x = 214,095.65

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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.