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Finding the Fourth Proportional to 139,748.63, 209,624.56 and 34,568.51

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Solution

The fourth proportional to 139,748.63, 209,624.56 and 34,568.51 is: 51,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,748.63 : 209,624.56 = 34,568.51 : x
  2. Step 2: Convert to fraction form
    139,748.63/209,624.56 = 34,568.51/x
  3. Step 3: Cross multiply
    139,748.63x = 209,624.56 × 34,568.51
  4. Step 4: Simplify right side
    139,748.63x = 7,246,407,564.06
  5. Step 5: Solve for x
    x = 7,246,407,564.06/139,748.63
  6. Step 6: Final answer
    x = 51,853.16

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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.