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Finding the Fourth Proportional to 205,055.60, 307,583.40 and 135,071.60

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Solution

The fourth proportional to 205,055.60, 307,583.40 and 135,071.60 is: 202,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,055.60 : 307,583.40 = 135,071.60 : x
  2. Step 2: Convert to fraction form
    205,055.60/307,583.40 = 135,071.60/x
  3. Step 3: Cross multiply
    205,055.60x = 307,583.40 × 135,071.60
  4. Step 4: Simplify right side
    205,055.60x = 41,545,781,971.44
  5. Step 5: Solve for x
    x = 41,545,781,971.44/205,055.60
  6. Step 6: Final answer
    x = 202,607.40

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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.