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Finding the Fourth Proportional to 102,855.94, 141,934.52 and 57,526.07

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Solution

The fourth proportional to 102,855.94, 141,934.52 and 57,526.07 is: 79,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,855.94 : 141,934.52 = 57,526.07 : x
  2. Step 2: Convert to fraction form
    102,855.94/141,934.52 = 57,526.07/x
  3. Step 3: Cross multiply
    102,855.94x = 141,934.52 × 57,526.07
  4. Step 4: Simplify right side
    102,855.94x = 8,164,935,360.17
  5. Step 5: Solve for x
    x = 8,164,935,360.17/102,855.94
  6. Step 6: Final answer
    x = 79,382.25

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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.