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Finding the Fourth Proportional to 147,706.56, 221,332.32 and 100,260

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Solution

The fourth proportional to 147,706.56, 221,332.32 and 100,260 is: 150,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,706.56 : 221,332.32 = 100,260 : x
  2. Step 2: Convert to fraction form
    147,706.56/221,332.32 = 100,260/x
  3. Step 3: Cross multiply
    147,706.56x = 221,332.32 × 100,260
  4. Step 4: Simplify right side
    147,706.56x = 22,190,778,403.20
  5. Step 5: Solve for x
    x = 22,190,778,403.20/147,706.56
  6. Step 6: Final answer
    x = 150,235.56

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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.