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Finding the Fourth Proportional to 158,004, 237,006 and 47,196

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Solution

The fourth proportional to 158,004, 237,006 and 47,196 is: 70,794

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,004 : 237,006 = 47,196 : x
  2. Step 2: Convert to fraction form
    158,004/237,006 = 47,196/x
  3. Step 3: Cross multiply
    158,004x = 237,006 × 47,196
  4. Step 4: Simplify right side
    158,004x = 11,185,735,176
  5. Step 5: Solve for x
    x = 11,185,735,176/158,004
  6. Step 6: Final answer
    x = 70,794

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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.