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Finding the Fourth Proportional to 200,514.78, 276,698.16 and 114,483.60

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Solution

The fourth proportional to 200,514.78, 276,698.16 and 114,483.60 is: 157,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,514.78 : 276,698.16 = 114,483.60 : x
  2. Step 2: Convert to fraction form
    200,514.78/276,698.16 = 114,483.60/x
  3. Step 3: Cross multiply
    200,514.78x = 276,698.16 × 114,483.60
  4. Step 4: Simplify right side
    200,514.78x = 31,677,401,470.18
  5. Step 5: Solve for x
    x = 31,677,401,470.18/200,514.78
  6. Step 6: Final answer
    x = 157,980.38

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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.