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Finding the Fourth Proportional to 102,178.29, 141,007.98 and 56,858.19

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Solution

The fourth proportional to 102,178.29, 141,007.98 and 56,858.19 is: 78,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,178.29 : 141,007.98 = 56,858.19 : x
  2. Step 2: Convert to fraction form
    102,178.29/141,007.98 = 56,858.19/x
  3. Step 3: Cross multiply
    102,178.29x = 141,007.98 × 56,858.19
  4. Step 4: Simplify right side
    102,178.29x = 8,017,458,518.36
  5. Step 5: Solve for x
    x = 8,017,458,518.36/102,178.29
  6. Step 6: Final answer
    x = 78,465.38

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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.