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Finding the Fourth Proportional to 145,837.13, 201,255.37 and 78,769.13

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Solution

The fourth proportional to 145,837.13, 201,255.37 and 78,769.13 is: 108,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,837.13 : 201,255.37 = 78,769.13 : x
  2. Step 2: Convert to fraction form
    145,837.13/201,255.37 = 78,769.13/x
  3. Step 3: Cross multiply
    145,837.13x = 201,255.37 × 78,769.13
  4. Step 4: Simplify right side
    145,837.13x = 15,852,709,199.53
  5. Step 5: Solve for x
    x = 15,852,709,199.53/145,837.13
  6. Step 6: Final answer
    x = 108,701.47

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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.