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Finding the Fourth Proportional to 117,877.84, 176,783.82 and 46,768.48

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Solution

The fourth proportional to 117,877.84, 176,783.82 and 46,768.48 is: 70,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,877.84 : 176,783.82 = 46,768.48 : x
  2. Step 2: Convert to fraction form
    117,877.84/176,783.82 = 46,768.48/x
  3. Step 3: Cross multiply
    117,877.84x = 176,783.82 × 46,768.48
  4. Step 4: Simplify right side
    117,877.84x = 8,267,910,549.99
  5. Step 5: Solve for x
    x = 8,267,910,549.99/117,877.84
  6. Step 6: Final answer
    x = 70,139.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.