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Finding the Fourth Proportional to 153,210.78, 229,738.41 and 70,033.50

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Solution

The fourth proportional to 153,210.78, 229,738.41 and 70,033.50 is: 105,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,210.78 : 229,738.41 = 70,033.50 : x
  2. Step 2: Convert to fraction form
    153,210.78/229,738.41 = 70,033.50/x
  3. Step 3: Cross multiply
    153,210.78x = 229,738.41 × 70,033.50
  4. Step 4: Simplify right side
    153,210.78x = 16,089,384,936.74
  5. Step 5: Solve for x
    x = 16,089,384,936.74/153,210.78
  6. Step 6: Final answer
    x = 105,014.71

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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.