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Finding the Fourth Proportional to 233,047.60, 348,696.60 and 154,315.60

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Solution

The fourth proportional to 233,047.60, 348,696.60 and 154,315.60 is: 230,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,047.60 : 348,696.60 = 154,315.60 : x
  2. Step 2: Convert to fraction form
    233,047.60/348,696.60 = 154,315.60/x
  3. Step 3: Cross multiply
    233,047.60x = 348,696.60 × 154,315.60
  4. Step 4: Simplify right side
    233,047.60x = 53,809,325,046.96
  5. Step 5: Solve for x
    x = 53,809,325,046.96/233,047.60
  6. Step 6: Final answer
    x = 230,894.14

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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.