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Finding the Fourth Proportional to 209,702.25, 314,242.23 and 154,026.09

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Solution

The fourth proportional to 209,702.25, 314,242.23 and 154,026.09 is: 230,810.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,702.25 : 314,242.23 = 154,026.09 : x
  2. Step 2: Convert to fraction form
    209,702.25/314,242.23 = 154,026.09/x
  3. Step 3: Cross multiply
    209,702.25x = 314,242.23 × 154,026.09
  4. Step 4: Simplify right side
    209,702.25x = 48,401,501,999.78
  5. Step 5: Solve for x
    x = 48,401,501,999.78/209,702.25
  6. Step 6: Final answer
    x = 230,810.60

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1.5x scale

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.