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Finding the Fourth Proportional to 255,798.02, 383,631.58 and 75,841.37

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Solution

The fourth proportional to 255,798.02, 383,631.58 and 75,841.37 is: 113,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,798.02 : 383,631.58 = 75,841.37 : x
  2. Step 2: Convert to fraction form
    255,798.02/383,631.58 = 75,841.37/x
  3. Step 3: Cross multiply
    255,798.02x = 383,631.58 × 75,841.37
  4. Step 4: Simplify right side
    255,798.02x = 29,095,142,684.31
  5. Step 5: Solve for x
    x = 29,095,142,684.31/255,798.02
  6. Step 6: Final answer
    x = 113,742.64

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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.