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Finding the Fourth Proportional to 200,980.35, 277,362.90 and 110,335.68

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Solution

The fourth proportional to 200,980.35, 277,362.90 and 110,335.68 is: 152,268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,980.35 : 277,362.90 = 110,335.68 : x
  2. Step 2: Convert to fraction form
    200,980.35/277,362.90 = 110,335.68/x
  3. Step 3: Cross multiply
    200,980.35x = 277,362.90 × 110,335.68
  4. Step 4: Simplify right side
    200,980.35x = 30,603,024,178.27
  5. Step 5: Solve for x
    x = 30,603,024,178.27/200,980.35
  6. Step 6: Final answer
    x = 152,268.74

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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.