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Finding the Fourth Proportional to 301,077.02, 451,615.72 and 76,454.30

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Solution

The fourth proportional to 301,077.02, 451,615.72 and 76,454.30 is: 114,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,077.02 : 451,615.72 = 76,454.30 : x
  2. Step 2: Convert to fraction form
    301,077.02/451,615.72 = 76,454.30/x
  3. Step 3: Cross multiply
    301,077.02x = 451,615.72 × 76,454.30
  4. Step 4: Simplify right side
    301,077.02x = 34,527,963,741.60
  5. Step 5: Solve for x
    x = 34,527,963,741.60/301,077.02
  6. Step 6: Final answer
    x = 114,681.50

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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.