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Finding the Fourth Proportional to 216,002.88, 298,084.16 and 120,509.59

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Solution

The fourth proportional to 216,002.88, 298,084.16 and 120,509.59 is: 166,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,002.88 : 298,084.16 = 120,509.59 : x
  2. Step 2: Convert to fraction form
    216,002.88/298,084.16 = 120,509.59/x
  3. Step 3: Cross multiply
    216,002.88x = 298,084.16 × 120,509.59
  4. Step 4: Simplify right side
    216,002.88x = 35,921,999,907.09
  5. Step 5: Solve for x
    x = 35,921,999,907.09/216,002.88
  6. Step 6: Final answer
    x = 166,303.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.