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Finding the Fourth Proportional to 152,880.06, 210,977.26 and 83,969.06

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Solution

The fourth proportional to 152,880.06, 210,977.26 and 83,969.06 is: 115,878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,880.06 : 210,977.26 = 83,969.06 : x
  2. Step 2: Convert to fraction form
    152,880.06/210,977.26 = 83,969.06/x
  3. Step 3: Cross multiply
    152,880.06x = 210,977.26 × 83,969.06
  4. Step 4: Simplify right side
    152,880.06x = 17,715,560,938.77
  5. Step 5: Solve for x
    x = 17,715,560,938.77/152,880.06
  6. Step 6: Final answer
    x = 115,878.82

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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.