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Finding the Fourth Proportional to 205,181.60, 307,966.80 and 175,632.80

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Solution

The fourth proportional to 205,181.60, 307,966.80 and 175,632.80 is: 263,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,181.60 : 307,966.80 = 175,632.80 : x
  2. Step 2: Convert to fraction form
    205,181.60/307,966.80 = 175,632.80/x
  3. Step 3: Cross multiply
    205,181.60x = 307,966.80 × 175,632.80
  4. Step 4: Simplify right side
    205,181.60x = 54,089,071,391.04
  5. Step 5: Solve for x
    x = 54,089,071,391.04/205,181.60
  6. Step 6: Final answer
    x = 263,615.60

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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.