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Finding the Fourth Proportional to 134,418.94, 185,476.43 and 77,047.70

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Solution

The fourth proportional to 134,418.94, 185,476.43 and 77,047.70 is: 106,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,418.94 : 185,476.43 = 77,047.70 : x
  2. Step 2: Convert to fraction form
    134,418.94/185,476.43 = 77,047.70/x
  3. Step 3: Cross multiply
    134,418.94x = 185,476.43 × 77,047.70
  4. Step 4: Simplify right side
    134,418.94x = 14,290,532,130.10
  5. Step 5: Solve for x
    x = 14,290,532,130.10/134,418.94
  6. Step 6: Final answer
    x = 106,313.39

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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.