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Finding the Fourth Proportional to 176,216.20, 264,365.34 and 51,566.92

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Solution

The fourth proportional to 176,216.20, 264,365.34 and 51,566.92 is: 77,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,216.20 : 264,365.34 = 51,566.92 : x
  2. Step 2: Convert to fraction form
    176,216.20/264,365.34 = 51,566.92/x
  3. Step 3: Cross multiply
    176,216.20x = 264,365.34 × 51,566.92
  4. Step 4: Simplify right side
    176,216.20x = 13,632,506,338.55
  5. Step 5: Solve for x
    x = 13,632,506,338.55/176,216.20
  6. Step 6: Final answer
    x = 77,362.39

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1.5x scale

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.