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Finding the Fourth Proportional to 200,817.16, 301,041.42 and 69,397

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Solution

The fourth proportional to 200,817.16, 301,041.42 and 69,397 is: 104,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,817.16 : 301,041.42 = 69,397 : x
  2. Step 2: Convert to fraction form
    200,817.16/301,041.42 = 69,397/x
  3. Step 3: Cross multiply
    200,817.16x = 301,041.42 × 69,397
  4. Step 4: Simplify right side
    200,817.16x = 20,891,371,423.74
  5. Step 5: Solve for x
    x = 20,891,371,423.74/200,817.16
  6. Step 6: Final answer
    x = 104,031.80

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