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Finding the Fourth Proportional to 152,050, 209,835.48 and 84,982

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Solution

The fourth proportional to 152,050, 209,835.48 and 84,982 is: 117,278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,050 : 209,835.48 = 84,982 : x
  2. Step 2: Convert to fraction form
    152,050/209,835.48 = 84,982/x
  3. Step 3: Cross multiply
    152,050x = 209,835.48 × 84,982
  4. Step 4: Simplify right side
    152,050x = 17,832,238,761.36
  5. Step 5: Solve for x
    x = 17,832,238,761.36/152,050
  6. Step 6: Final answer
    x = 117,278.78

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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.