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Finding the Fourth Proportional to 209,902.30, 314,853.45 and 209,902.30

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Solution

The fourth proportional to 209,902.30, 314,853.45 and 209,902.30 is: 314,853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,902.30 : 314,853.45 = 209,902.30 : x
  2. Step 2: Convert to fraction form
    209,902.30/314,853.45 = 209,902.30/x
  3. Step 3: Cross multiply
    209,902.30x = 314,853.45 × 209,902.30
  4. Step 4: Simplify right side
    209,902.30x = 66,088,463,317.94
  5. Step 5: Solve for x
    x = 66,088,463,317.94/209,902.30
  6. Step 6: Final answer
    x = 314,853.45

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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.