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Finding the Fourth Proportional to 205,308.10, 306,064.35 and 202,072.70

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Solution

The fourth proportional to 205,308.10, 306,064.35 and 202,072.70 is: 301,241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,308.10 : 306,064.35 = 202,072.70 : x
  2. Step 2: Convert to fraction form
    205,308.10/306,064.35 = 202,072.70/x
  3. Step 3: Cross multiply
    205,308.10x = 306,064.35 × 202,072.70
  4. Step 4: Simplify right side
    205,308.10x = 61,847,249,578.25
  5. Step 5: Solve for x
    x = 61,847,249,578.25/205,308.10
  6. Step 6: Final answer
    x = 301,241.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.