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Finding the Fourth Proportional to 252,333.77, 348,208.89 and 144,828.14

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Solution

The fourth proportional to 252,333.77, 348,208.89 and 144,828.14 is: 199,856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,333.77 : 348,208.89 = 144,828.14 : x
  2. Step 2: Convert to fraction form
    252,333.77/348,208.89 = 144,828.14/x
  3. Step 3: Cross multiply
    252,333.77x = 348,208.89 × 144,828.14
  4. Step 4: Simplify right side
    252,333.77x = 50,430,445,870.16
  5. Step 5: Solve for x
    x = 50,430,445,870.16/252,333.77
  6. Step 6: Final answer
    x = 199,856.11

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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.