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Finding the Fourth Proportional to 233,367.47, 322,051.20 and 137,873.94

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Solution

The fourth proportional to 233,367.47, 322,051.20 and 137,873.94 is: 190,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,367.47 : 322,051.20 = 137,873.94 : x
  2. Step 2: Convert to fraction form
    233,367.47/322,051.20 = 137,873.94/x
  3. Step 3: Cross multiply
    233,367.47x = 322,051.20 × 137,873.94
  4. Step 4: Simplify right side
    233,367.47x = 44,402,467,825.73
  5. Step 5: Solve for x
    x = 44,402,467,825.73/233,367.47
  6. Step 6: Final answer
    x = 190,268.45

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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.