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Finding the Fourth Proportional to 338,102.34, 507,410.46 and 125,071.80

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Solution

The fourth proportional to 338,102.34, 507,410.46 and 125,071.80 is: 187,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,102.34 : 507,410.46 = 125,071.80 : x
  2. Step 2: Convert to fraction form
    338,102.34/507,410.46 = 125,071.80/x
  3. Step 3: Cross multiply
    338,102.34x = 507,410.46 × 125,071.80
  4. Step 4: Simplify right side
    338,102.34x = 63,462,739,571.03
  5. Step 5: Solve for x
    x = 63,462,739,571.03/338,102.34
  6. Step 6: Final answer
    x = 187,702.75

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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.