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Finding the Fourth Proportional to 164,083.40, 230,416.60 and 164,083.40

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Solution

The fourth proportional to 164,083.40, 230,416.60 and 164,083.40 is: 230,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,083.40 : 230,416.60 = 164,083.40 : x
  2. Step 2: Convert to fraction form
    164,083.40/230,416.60 = 164,083.40/x
  3. Step 3: Cross multiply
    164,083.40x = 230,416.60 × 164,083.40
  4. Step 4: Simplify right side
    164,083.40x = 37,807,539,144.44
  5. Step 5: Solve for x
    x = 37,807,539,144.44/164,083.40
  6. Step 6: Final answer
    x = 230,416.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.