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Finding the Fourth Proportional to 145,841, 201,260.72 and 78,773

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Solution

The fourth proportional to 145,841, 201,260.72 and 78,773 is: 108,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,841 : 201,260.72 = 78,773 : x
  2. Step 2: Convert to fraction form
    145,841/201,260.72 = 78,773/x
  3. Step 3: Cross multiply
    145,841x = 201,260.72 × 78,773
  4. Step 4: Simplify right side
    145,841x = 15,853,910,696.56
  5. Step 5: Solve for x
    x = 15,853,910,696.56/145,841
  6. Step 6: Final answer
    x = 108,706.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.