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Finding the Fourth Proportional to 200,013.84, 299,904.12 and 59,734.80

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Solution

The fourth proportional to 200,013.84, 299,904.12 and 59,734.80 is: 89,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,013.84 : 299,904.12 = 59,734.80 : x
  2. Step 2: Convert to fraction form
    200,013.84/299,904.12 = 59,734.80/x
  3. Step 3: Cross multiply
    200,013.84x = 299,904.12 × 59,734.80
  4. Step 4: Simplify right side
    200,013.84x = 17,914,712,627.38
  5. Step 5: Solve for x
    x = 17,914,712,627.38/200,013.84
  6. Step 6: Final answer
    x = 89,567.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.