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Finding the Fourth Proportional to 255,730.40, 383,768.40 and 143,410.40

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Solution

The fourth proportional to 255,730.40, 383,768.40 and 143,410.40 is: 215,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,730.40 : 383,768.40 = 143,410.40 : x
  2. Step 2: Convert to fraction form
    255,730.40/383,768.40 = 143,410.40/x
  3. Step 3: Cross multiply
    255,730.40x = 383,768.40 × 143,410.40
  4. Step 4: Simplify right side
    255,730.40x = 55,036,379,751.36
  5. Step 5: Solve for x
    x = 55,036,379,751.36/255,730.40
  6. Step 6: Final answer
    x = 215,212.50

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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.