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Finding the Fourth Proportional to 202,934.94, 280,031.58 and 116,871

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Solution

The fourth proportional to 202,934.94, 280,031.58 and 116,871 is: 161,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,934.94 : 280,031.58 = 116,871 : x
  2. Step 2: Convert to fraction form
    202,934.94/280,031.58 = 116,871/x
  3. Step 3: Cross multiply
    202,934.94x = 280,031.58 × 116,871
  4. Step 4: Simplify right side
    202,934.94x = 32,727,570,786.18
  5. Step 5: Solve for x
    x = 32,727,570,786.18/202,934.94
  6. Step 6: Final answer
    x = 161,271.25

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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.