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Finding the Fourth Proportional to 152,097, 228,145.50 and 41,289

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Solution

The fourth proportional to 152,097, 228,145.50 and 41,289 is: 61,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,097 : 228,145.50 = 41,289 : x
  2. Step 2: Convert to fraction form
    152,097/228,145.50 = 41,289/x
  3. Step 3: Cross multiply
    152,097x = 228,145.50 × 41,289
  4. Step 4: Simplify right side
    152,097x = 9,419,899,549.50
  5. Step 5: Solve for x
    x = 9,419,899,549.50/152,097
  6. Step 6: Final answer
    x = 61,933.50

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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.