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Finding the Fourth Proportional to 302,043.83, 416,831.19 and 166,088.12

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Solution

The fourth proportional to 302,043.83, 416,831.19 and 166,088.12 is: 229,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,043.83 : 416,831.19 = 166,088.12 : x
  2. Step 2: Convert to fraction form
    302,043.83/416,831.19 = 166,088.12/x
  3. Step 3: Cross multiply
    302,043.83x = 416,831.19 × 166,088.12
  4. Step 4: Simplify right side
    302,043.83x = 69,230,708,704.46
  5. Step 5: Solve for x
    x = 69,230,708,704.46/302,043.83
  6. Step 6: Final answer
    x = 229,207.49

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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.