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Finding the Fourth Proportional to 266,762.34, 400,255.83 and 116,925.30

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Solution

The fourth proportional to 266,762.34, 400,255.83 and 116,925.30 is: 175,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,762.34 : 400,255.83 = 116,925.30 : x
  2. Step 2: Convert to fraction form
    266,762.34/400,255.83 = 116,925.30/x
  3. Step 3: Cross multiply
    266,762.34x = 400,255.83 × 116,925.30
  4. Step 4: Simplify right side
    266,762.34x = 46,800,032,999.50
  5. Step 5: Solve for x
    x = 46,800,032,999.50/266,762.34
  6. Step 6: Final answer
    x = 175,437.18

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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.