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Finding the Fourth Proportional to 102,854.89, 141,935.38 and 59,834.49

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Solution

The fourth proportional to 102,854.89, 141,935.38 and 59,834.49 is: 82,569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,854.89 : 141,935.38 = 59,834.49 : x
  2. Step 2: Convert to fraction form
    102,854.89/141,935.38 = 59,834.49/x
  3. Step 3: Cross multiply
    102,854.89x = 141,935.38 × 59,834.49
  4. Step 4: Simplify right side
    102,854.89x = 8,492,631,075.26
  5. Step 5: Solve for x
    x = 8,492,631,075.26/102,854.89
  6. Step 6: Final answer
    x = 82,569.06

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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.