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Finding the Fourth Proportional to 200,047.68, 276,054.63 and 109,385.64

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Solution

The fourth proportional to 200,047.68, 276,054.63 and 109,385.64 is: 150,946.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,047.68 : 276,054.63 = 109,385.64 : x
  2. Step 2: Convert to fraction form
    200,047.68/276,054.63 = 109,385.64/x
  3. Step 3: Cross multiply
    200,047.68x = 276,054.63 × 109,385.64
  4. Step 4: Simplify right side
    200,047.68x = 30,196,412,377.51
  5. Step 5: Solve for x
    x = 30,196,412,377.51/200,047.68
  6. Step 6: Final answer
    x = 150,946.08

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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.