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Finding the Fourth Proportional to 102,309.68, 141,206.98 and 57,597.68

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Solution

The fourth proportional to 102,309.68, 141,206.98 and 57,597.68 is: 79,495.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,309.68 : 141,206.98 = 57,597.68 : x
  2. Step 2: Convert to fraction form
    102,309.68/141,206.98 = 57,597.68/x
  3. Step 3: Cross multiply
    102,309.68x = 141,206.98 × 57,597.68
  4. Step 4: Simplify right side
    102,309.68x = 8,133,194,447.81
  5. Step 5: Solve for x
    x = 8,133,194,447.81/102,309.68
  6. Step 6: Final answer
    x = 79,495.84

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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.