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Finding the Fourth Proportional to 102,030.56, 140,813.58 and 61,766.52

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Solution

The fourth proportional to 102,030.56, 140,813.58 and 61,766.52 is: 85,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,030.56 : 140,813.58 = 61,766.52 : x
  2. Step 2: Convert to fraction form
    102,030.56/140,813.58 = 61,766.52/x
  3. Step 3: Cross multiply
    102,030.56x = 140,813.58 × 61,766.52
  4. Step 4: Simplify right side
    102,030.56x = 8,697,564,762.51
  5. Step 5: Solve for x
    x = 8,697,564,762.51/102,030.56
  6. Step 6: Final answer
    x = 85,244.71

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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.