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Finding the Fourth Proportional to 302,002.64, 416,763.90 and 166,038.90

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Solution

The fourth proportional to 302,002.64, 416,763.90 and 166,038.90 is: 229,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,002.64 : 416,763.90 = 166,038.90 : x
  2. Step 2: Convert to fraction form
    302,002.64/416,763.90 = 166,038.90/x
  3. Step 3: Cross multiply
    302,002.64x = 416,763.90 × 166,038.90
  4. Step 4: Simplify right side
    302,002.64x = 69,199,019,515.71
  5. Step 5: Solve for x
    x = 69,199,019,515.71/302,002.64
  6. Step 6: Final answer
    x = 229,133.82

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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.