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Finding the Fourth Proportional to 160,455.33, 240,804.21 and 109,733.16

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Solution

The fourth proportional to 160,455.33, 240,804.21 and 109,733.16 is: 164,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,455.33 : 240,804.21 = 109,733.16 : x
  2. Step 2: Convert to fraction form
    160,455.33/240,804.21 = 109,733.16/x
  3. Step 3: Cross multiply
    160,455.33x = 240,804.21 × 109,733.16
  4. Step 4: Simplify right side
    160,455.33x = 26,424,206,904.60
  5. Step 5: Solve for x
    x = 26,424,206,904.60/160,455.33
  6. Step 6: Final answer
    x = 164,682.64

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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.