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Finding the Fourth Proportional to 205,220.60, 307,830.90 and 201,721.40

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Solution

The fourth proportional to 205,220.60, 307,830.90 and 201,721.40 is: 302,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,220.60 : 307,830.90 = 201,721.40 : x
  2. Step 2: Convert to fraction form
    205,220.60/307,830.90 = 201,721.40/x
  3. Step 3: Cross multiply
    205,220.60x = 307,830.90 × 201,721.40
  4. Step 4: Simplify right side
    205,220.60x = 62,096,080,111.26
  5. Step 5: Solve for x
    x = 62,096,080,111.26/205,220.60
  6. Step 6: Final answer
    x = 302,582.10

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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.