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Finding the Fourth Proportional to 177,732, 266,607.72 and 53,082.72

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Solution

The fourth proportional to 177,732, 266,607.72 and 53,082.72 is: 79,626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,732 : 266,607.72 = 53,082.72 : x
  2. Step 2: Convert to fraction form
    177,732/266,607.72 = 53,082.72/x
  3. Step 3: Cross multiply
    177,732x = 266,607.72 × 53,082.72
  4. Step 4: Simplify right side
    177,732x = 14,152,262,950.60
  5. Step 5: Solve for x
    x = 14,152,262,950.60/177,732
  6. Step 6: Final answer
    x = 79,626.98

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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.