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Finding the Fourth Proportional to 199,572, 275,409.72 and 110,148

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Solution

The fourth proportional to 199,572, 275,409.72 and 110,148 is: 152,004.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,572 : 275,409.72 = 110,148 : x
  2. Step 2: Convert to fraction form
    199,572/275,409.72 = 110,148/x
  3. Step 3: Cross multiply
    199,572x = 275,409.72 × 110,148
  4. Step 4: Simplify right side
    199,572x = 30,335,829,838.56
  5. Step 5: Solve for x
    x = 30,335,829,838.56/199,572
  6. Step 6: Final answer
    x = 152,004.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.