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Finding the Fourth Proportional to 178,043, 266,856.98 and 99,119.48

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Solution

The fourth proportional to 178,043, 266,856.98 and 99,119.48 is: 148,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,043 : 266,856.98 = 99,119.48 : x
  2. Step 2: Convert to fraction form
    178,043/266,856.98 = 99,119.48/x
  3. Step 3: Cross multiply
    178,043x = 266,856.98 × 99,119.48
  4. Step 4: Simplify right side
    178,043x = 26,450,725,091.97
  5. Step 5: Solve for x
    x = 26,450,725,091.97/178,043
  6. Step 6: Final answer
    x = 148,563.69

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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.