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Finding the Fourth Proportional to 102,048.46, 153,152.37 and 70,678.37

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Solution

The fourth proportional to 102,048.46, 153,152.37 and 70,678.37 is: 106,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,048.46 : 153,152.37 = 70,678.37 : x
  2. Step 2: Convert to fraction form
    102,048.46/153,152.37 = 70,678.37/x
  3. Step 3: Cross multiply
    102,048.46x = 153,152.37 × 70,678.37
  4. Step 4: Simplify right side
    102,048.46x = 10,824,560,256.12
  5. Step 5: Solve for x
    x = 10,824,560,256.12/102,048.46
  6. Step 6: Final answer
    x = 106,072.75

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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.