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Finding the Fourth Proportional to 176,543.20, 264,814.80 and 159,047.20

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Solution

The fourth proportional to 176,543.20, 264,814.80 and 159,047.20 is: 238,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,543.20 : 264,814.80 = 159,047.20 : x
  2. Step 2: Convert to fraction form
    176,543.20/264,814.80 = 159,047.20/x
  3. Step 3: Cross multiply
    176,543.20x = 264,814.80 × 159,047.20
  4. Step 4: Simplify right side
    176,543.20x = 42,118,052,458.56
  5. Step 5: Solve for x
    x = 42,118,052,458.56/176,543.20
  6. Step 6: Final answer
    x = 238,570.80

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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.