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Finding the Fourth Proportional to 333,118.63, 459,702.39 and 180,157.01

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Solution

The fourth proportional to 333,118.63, 459,702.39 and 180,157.01 is: 248,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,118.63 : 459,702.39 = 180,157.01 : x
  2. Step 2: Convert to fraction form
    333,118.63/459,702.39 = 180,157.01/x
  3. Step 3: Cross multiply
    333,118.63x = 459,702.39 × 180,157.01
  4. Step 4: Simplify right side
    333,118.63x = 82,818,608,021.77
  5. Step 5: Solve for x
    x = 82,818,608,021.77/333,118.63
  6. Step 6: Final answer
    x = 248,615.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.