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Finding the Fourth Proportional to 338,359.26, 507,538.88 and 101,702.16

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Solution

The fourth proportional to 338,359.26, 507,538.88 and 101,702.16 is: 152,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,359.26 : 507,538.88 = 101,702.16 : x
  2. Step 2: Convert to fraction form
    338,359.26/507,538.88 = 101,702.16/x
  3. Step 3: Cross multiply
    338,359.26x = 507,538.88 × 101,702.16
  4. Step 4: Simplify right side
    338,359.26x = 51,617,800,379.98
  5. Step 5: Solve for x
    x = 51,617,800,379.98/338,359.26
  6. Step 6: Final answer
    x = 152,553.24

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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.