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Finding the Fourth Proportional to 233,512.04, 321,991.80 and 157,929.32

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Solution

The fourth proportional to 233,512.04, 321,991.80 and 157,929.32 is: 217,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,512.04 : 321,991.80 = 157,929.32 : x
  2. Step 2: Convert to fraction form
    233,512.04/321,991.80 = 157,929.32/x
  3. Step 3: Cross multiply
    233,512.04x = 321,991.80 × 157,929.32
  4. Step 4: Simplify right side
    233,512.04x = 50,851,946,019.58
  5. Step 5: Solve for x
    x = 50,851,946,019.58/233,512.04
  6. Step 6: Final answer
    x = 217,770.12

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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.