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Finding the Fourth Proportional to 106,952.90, 160,429.35 and 101,768.90

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Solution

The fourth proportional to 106,952.90, 160,429.35 and 101,768.90 is: 152,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,952.90 : 160,429.35 = 101,768.90 : x
  2. Step 2: Convert to fraction form
    106,952.90/160,429.35 = 101,768.90/x
  3. Step 3: Cross multiply
    106,952.90x = 160,429.35 × 101,768.90
  4. Step 4: Simplify right side
    106,952.90x = 16,326,718,477.22
  5. Step 5: Solve for x
    x = 16,326,718,477.22/106,952.90
  6. Step 6: Final answer
    x = 152,653.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.