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Finding the Fourth Proportional to 273,087.40, 409,631.10 and 106,875.40

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Solution

The fourth proportional to 273,087.40, 409,631.10 and 106,875.40 is: 160,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,087.40 : 409,631.10 = 106,875.40 : x
  2. Step 2: Convert to fraction form
    273,087.40/409,631.10 = 106,875.40/x
  3. Step 3: Cross multiply
    273,087.40x = 409,631.10 × 106,875.40
  4. Step 4: Simplify right side
    273,087.40x = 43,779,487,664.94
  5. Step 5: Solve for x
    x = 43,779,487,664.94/273,087.40
  6. Step 6: Final answer
    x = 160,313.10

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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.