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Finding the Fourth Proportional to 150,120.81, 223,669.98 and 147,955.68

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Solution

The fourth proportional to 150,120.81, 223,669.98 and 147,955.68 is: 220,444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,120.81 : 223,669.98 = 147,955.68 : x
  2. Step 2: Convert to fraction form
    150,120.81/223,669.98 = 147,955.68/x
  3. Step 3: Cross multiply
    150,120.81x = 223,669.98 × 147,955.68
  4. Step 4: Simplify right side
    150,120.81x = 33,093,243,986.49
  5. Step 5: Solve for x
    x = 33,093,243,986.49/150,120.81
  6. Step 6: Final answer
    x = 220,444.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.