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Finding the Fourth Proportional to 152,285, 228,427.50 and 41,477

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Solution

The fourth proportional to 152,285, 228,427.50 and 41,477 is: 62,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,285 : 228,427.50 = 41,477 : x
  2. Step 2: Convert to fraction form
    152,285/228,427.50 = 41,477/x
  3. Step 3: Cross multiply
    152,285x = 228,427.50 × 41,477
  4. Step 4: Simplify right side
    152,285x = 9,474,487,417.50
  5. Step 5: Solve for x
    x = 9,474,487,417.50/152,285
  6. Step 6: Final answer
    x = 62,215.50

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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.