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Finding the Fourth Proportional to 200,312.84, 276,432.36 and 109,669.52

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Solution

The fourth proportional to 200,312.84, 276,432.36 and 109,669.52 is: 151,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,312.84 : 276,432.36 = 109,669.52 : x
  2. Step 2: Convert to fraction form
    200,312.84/276,432.36 = 109,669.52/x
  3. Step 3: Cross multiply
    200,312.84x = 276,432.36 × 109,669.52
  4. Step 4: Simplify right side
    200,312.84x = 30,316,204,233.67
  5. Step 5: Solve for x
    x = 30,316,204,233.67/200,312.84
  6. Step 6: Final answer
    x = 151,344.29

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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.