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Finding the Fourth Proportional to 200,888.84, 277,206.40 and 120,314.30

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Solution

The fourth proportional to 200,888.84, 277,206.40 and 120,314.30 is: 166,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,888.84 : 277,206.40 = 120,314.30 : x
  2. Step 2: Convert to fraction form
    200,888.84/277,206.40 = 120,314.30/x
  3. Step 3: Cross multiply
    200,888.84x = 277,206.40 × 120,314.30
  4. Step 4: Simplify right side
    200,888.84x = 33,351,893,971.52
  5. Step 5: Solve for x
    x = 33,351,893,971.52/200,888.84
  6. Step 6: Final answer
    x = 166,021.64

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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.