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Finding the Fourth Proportional to 202,705.60, 304,058.40 and 165,841.60

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Solution

The fourth proportional to 202,705.60, 304,058.40 and 165,841.60 is: 248,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,705.60 : 304,058.40 = 165,841.60 : x
  2. Step 2: Convert to fraction form
    202,705.60/304,058.40 = 165,841.60/x
  3. Step 3: Cross multiply
    202,705.60x = 304,058.40 × 165,841.60
  4. Step 4: Simplify right side
    202,705.60x = 50,425,531,549.44
  5. Step 5: Solve for x
    x = 50,425,531,549.44/202,705.60
  6. Step 6: Final answer
    x = 248,762.40

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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.