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Finding the Fourth Proportional to 160,977.51, 241,411.59 and 55,771.92

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Solution

The fourth proportional to 160,977.51, 241,411.59 and 55,771.92 is: 83,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,977.51 : 241,411.59 = 55,771.92 : x
  2. Step 2: Convert to fraction form
    160,977.51/241,411.59 = 55,771.92/x
  3. Step 3: Cross multiply
    160,977.51x = 241,411.59 × 55,771.92
  4. Step 4: Simplify right side
    160,977.51x = 13,463,987,884.55
  5. Step 5: Solve for x
    x = 13,463,987,884.55/160,977.51
  6. Step 6: Final answer
    x = 83,638.94

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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.