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Finding the Fourth Proportional to 147,546, 221,319 and 49,050

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Solution

The fourth proportional to 147,546, 221,319 and 49,050 is: 73,575

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,546 : 221,319 = 49,050 : x
  2. Step 2: Convert to fraction form
    147,546/221,319 = 49,050/x
  3. Step 3: Cross multiply
    147,546x = 221,319 × 49,050
  4. Step 4: Simplify right side
    147,546x = 10,855,696,950
  5. Step 5: Solve for x
    x = 10,855,696,950/147,546
  6. Step 6: Final answer
    x = 73,575

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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.