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Finding the Fourth Proportional to 105,894.95, 146,135.43 and 57,496.95

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Solution

The fourth proportional to 105,894.95, 146,135.43 and 57,496.95 is: 79,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,894.95 : 146,135.43 = 57,496.95 : x
  2. Step 2: Convert to fraction form
    105,894.95/146,135.43 = 57,496.95/x
  3. Step 3: Cross multiply
    105,894.95x = 146,135.43 × 57,496.95
  4. Step 4: Simplify right side
    105,894.95x = 8,402,341,511.94
  5. Step 5: Solve for x
    x = 8,402,341,511.94/105,894.95
  6. Step 6: Final answer
    x = 79,346.01

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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.