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Finding the Fourth Proportional to 176,454.76, 264,526.62 and 65,569

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Solution

The fourth proportional to 176,454.76, 264,526.62 and 65,569 is: 98,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,454.76 : 264,526.62 = 65,569 : x
  2. Step 2: Convert to fraction form
    176,454.76/264,526.62 = 65,569/x
  3. Step 3: Cross multiply
    176,454.76x = 264,526.62 × 65,569
  4. Step 4: Simplify right side
    176,454.76x = 17,344,745,946.78
  5. Step 5: Solve for x
    x = 17,344,745,946.78/176,454.76
  6. Step 6: Final answer
    x = 98,295.71

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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.