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Finding the Fourth Proportional to 102,858.94, 141,938.66 and 57,529.07

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Solution

The fourth proportional to 102,858.94, 141,938.66 and 57,529.07 is: 79,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,858.94 : 141,938.66 = 57,529.07 : x
  2. Step 2: Convert to fraction form
    102,858.94/141,938.66 = 57,529.07/x
  3. Step 3: Cross multiply
    102,858.94x = 141,938.66 × 57,529.07
  4. Step 4: Simplify right side
    102,858.94x = 8,165,599,106.85
  5. Step 5: Solve for x
    x = 8,165,599,106.85/102,858.94
  6. Step 6: Final answer
    x = 79,386.38

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Why These Related Problems?

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