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Finding the Fourth Proportional to 200,023.65, 276,029.95 and 113,987.76

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Solution

The fourth proportional to 200,023.65, 276,029.95 and 113,987.76 is: 157,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,023.65 : 276,029.95 = 113,987.76 : x
  2. Step 2: Convert to fraction form
    200,023.65/276,029.95 = 113,987.76/x
  3. Step 3: Cross multiply
    200,023.65x = 276,029.95 × 113,987.76
  4. Step 4: Simplify right side
    200,023.65x = 31,464,034,907.65
  5. Step 5: Solve for x
    x = 31,464,034,907.65/200,023.65
  6. Step 6: Final answer
    x = 157,301.57

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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.