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Finding the Fourth Proportional to 106,828.16, 160,339.04 and 56,950.08

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Solution

The fourth proportional to 106,828.16, 160,339.04 and 56,950.08 is: 85,476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,828.16 : 160,339.04 = 56,950.08 : x
  2. Step 2: Convert to fraction form
    106,828.16/160,339.04 = 56,950.08/x
  3. Step 3: Cross multiply
    106,828.16x = 160,339.04 × 56,950.08
  4. Step 4: Simplify right side
    106,828.16x = 9,131,321,155.12
  5. Step 5: Solve for x
    x = 9,131,321,155.12/106,828.16
  6. Step 6: Final answer
    x = 85,476.72

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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.