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Finding the Fourth Proportional to 257,804.30, 355,764.58 and 143,076.28

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Solution

The fourth proportional to 257,804.30, 355,764.58 and 143,076.28 is: 197,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,804.30 : 355,764.58 = 143,076.28 : x
  2. Step 2: Convert to fraction form
    257,804.30/355,764.58 = 143,076.28/x
  3. Step 3: Cross multiply
    257,804.30x = 355,764.58 × 143,076.28
  4. Step 4: Simplify right side
    257,804.30x = 50,901,470,630.18
  5. Step 5: Solve for x
    x = 50,901,470,630.18/257,804.30
  6. Step 6: Final answer
    x = 197,442.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.