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Finding the Fourth Proportional to 333,774.57, 500,692.64 and 109,136.16

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Solution

The fourth proportional to 333,774.57, 500,692.64 and 109,136.16 is: 163,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,774.57 : 500,692.64 = 109,136.16 : x
  2. Step 2: Convert to fraction form
    333,774.57/500,692.64 = 109,136.16/x
  3. Step 3: Cross multiply
    333,774.57x = 500,692.64 × 109,136.16
  4. Step 4: Simplify right side
    333,774.57x = 54,643,672,069.86
  5. Step 5: Solve for x
    x = 54,643,672,069.86/333,774.57
  6. Step 6: Final answer
    x = 163,714.31

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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.