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Finding the Fourth Proportional to 106,826.29, 147,403.90 and 61,495.52

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Solution

The fourth proportional to 106,826.29, 147,403.90 and 61,495.52 is: 84,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,826.29 : 147,403.90 = 61,495.52 : x
  2. Step 2: Convert to fraction form
    106,826.29/147,403.90 = 61,495.52/x
  3. Step 3: Cross multiply
    106,826.29x = 147,403.90 × 61,495.52
  4. Step 4: Simplify right side
    106,826.29x = 9,064,679,480.53
  5. Step 5: Solve for x
    x = 9,064,679,480.53/106,826.29
  6. Step 6: Final answer
    x = 84,854.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.