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Finding the Fourth Proportional to 134,946, 186,241.88 and 78,357.38

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Solution

The fourth proportional to 134,946, 186,241.88 and 78,357.38 is: 108,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,946 : 186,241.88 = 78,357.38 : x
  2. Step 2: Convert to fraction form
    134,946/186,241.88 = 78,357.38/x
  3. Step 3: Cross multiply
    134,946x = 186,241.88 × 78,357.38
  4. Step 4: Simplify right side
    134,946x = 14,593,425,027.76
  5. Step 5: Solve for x
    x = 14,593,425,027.76/134,946
  6. Step 6: Final answer
    x = 108,142.70

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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.