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Finding the Fourth Proportional to 178,762.64, 268,075.80 and 52,375.91

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Solution

The fourth proportional to 178,762.64, 268,075.80 and 52,375.91 is: 78,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,762.64 : 268,075.80 = 52,375.91 : x
  2. Step 2: Convert to fraction form
    178,762.64/268,075.80 = 52,375.91/x
  3. Step 3: Cross multiply
    178,762.64x = 268,075.80 × 52,375.91
  4. Step 4: Simplify right side
    178,762.64x = 14,040,712,633.60
  5. Step 5: Solve for x
    x = 14,040,712,633.60/178,762.64
  6. Step 6: Final answer
    x = 78,543.89

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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.