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Finding the Fourth Proportional to 129,865.48, 194,681.26 and 46,701

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Solution

The fourth proportional to 129,865.48, 194,681.26 and 46,701 is: 70,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,865.48 : 194,681.26 = 46,701 : x
  2. Step 2: Convert to fraction form
    129,865.48/194,681.26 = 46,701/x
  3. Step 3: Cross multiply
    129,865.48x = 194,681.26 × 46,701
  4. Step 4: Simplify right side
    129,865.48x = 9,091,809,523.26
  5. Step 5: Solve for x
    x = 9,091,809,523.26/129,865.48
  6. Step 6: Final answer
    x = 70,009.44

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