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Finding the Fourth Proportional to 145,118.70, 217,546.83 and 51,602.58

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Solution

The fourth proportional to 145,118.70, 217,546.83 and 51,602.58 is: 77,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,118.70 : 217,546.83 = 51,602.58 : x
  2. Step 2: Convert to fraction form
    145,118.70/217,546.83 = 51,602.58/x
  3. Step 3: Cross multiply
    145,118.70x = 217,546.83 × 51,602.58
  4. Step 4: Simplify right side
    145,118.70x = 11,225,977,698.82
  5. Step 5: Solve for x
    x = 11,225,977,698.82/145,118.70
  6. Step 6: Final answer
    x = 77,357.21

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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.