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Finding the Fourth Proportional to 363,848.01, 545,733.86 and 97,635.81

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Solution

The fourth proportional to 363,848.01, 545,733.86 and 97,635.81 is: 146,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,848.01 : 545,733.86 = 97,635.81 : x
  2. Step 2: Convert to fraction form
    363,848.01/545,733.86 = 97,635.81/x
  3. Step 3: Cross multiply
    363,848.01x = 545,733.86 × 97,635.81
  4. Step 4: Simplify right side
    363,848.01x = 53,283,166,977.35
  5. Step 5: Solve for x
    x = 53,283,166,977.35/363,848.01
  6. Step 6: Final answer
    x = 146,443.48

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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.