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Finding the Fourth Proportional to 176,504.48, 264,728.80 and 146,709.92

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Solution

The fourth proportional to 176,504.48, 264,728.80 and 146,709.92 is: 220,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,504.48 : 264,728.80 = 146,709.92 : x
  2. Step 2: Convert to fraction form
    176,504.48/264,728.80 = 146,709.92/x
  3. Step 3: Cross multiply
    176,504.48x = 264,728.80 × 146,709.92
  4. Step 4: Simplify right side
    176,504.48x = 38,838,341,069.70
  5. Step 5: Solve for x
    x = 38,838,341,069.70/176,504.48
  6. Step 6: Final answer
    x = 220,041.67

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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.