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Finding the Fourth Proportional to 233,133.91, 321,696.05 and 147,060.41

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Solution

The fourth proportional to 233,133.91, 321,696.05 and 147,060.41 is: 202,925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,133.91 : 321,696.05 = 147,060.41 : x
  2. Step 2: Convert to fraction form
    233,133.91/321,696.05 = 147,060.41/x
  3. Step 3: Cross multiply
    233,133.91x = 321,696.05 × 147,060.41
  4. Step 4: Simplify right side
    233,133.91x = 47,308,750,664.60
  5. Step 5: Solve for x
    x = 47,308,750,664.60/233,133.91
  6. Step 6: Final answer
    x = 202,925.23

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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.