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Finding the Fourth Proportional to 142,597.36, 214,283.76 and 76,084.48

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Solution

The fourth proportional to 142,597.36, 214,283.76 and 76,084.48 is: 114,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,597.36 : 214,283.76 = 76,084.48 : x
  2. Step 2: Convert to fraction form
    142,597.36/214,283.76 = 76,084.48/x
  3. Step 3: Cross multiply
    142,597.36x = 214,283.76 × 76,084.48
  4. Step 4: Simplify right side
    142,597.36x = 16,303,668,452.04
  5. Step 5: Solve for x
    x = 16,303,668,452.04/142,597.36
  6. Step 6: Final answer
    x = 114,333.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.