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Finding the Fourth Proportional to 301,186.64, 451,831.80 and 160,907.60

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Solution

The fourth proportional to 301,186.64, 451,831.80 and 160,907.60 is: 241,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,186.64 : 451,831.80 = 160,907.60 : x
  2. Step 2: Convert to fraction form
    301,186.64/451,831.80 = 160,907.60/x
  3. Step 3: Cross multiply
    301,186.64x = 451,831.80 × 160,907.60
  4. Step 4: Simplify right side
    301,186.64x = 72,703,170,541.68
  5. Step 5: Solve for x
    x = 72,703,170,541.68/301,186.64
  6. Step 6: Final answer
    x = 241,389.10

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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.