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Finding the Fourth Proportional to 233,783.80, 322,738.96 and 153,334.60

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Solution

The fourth proportional to 233,783.80, 322,738.96 and 153,334.60 is: 211,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,783.80 : 322,738.96 = 153,334.60 : x
  2. Step 2: Convert to fraction form
    233,783.80/322,738.96 = 153,334.60/x
  3. Step 3: Cross multiply
    233,783.80x = 322,738.96 × 153,334.60
  4. Step 4: Simplify right side
    233,783.80x = 49,487,049,336.02
  5. Step 5: Solve for x
    x = 49,487,049,336.02/233,783.80
  6. Step 6: Final answer
    x = 211,678.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.