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Finding the Fourth Proportional to 145,106.68, 200,189.96 and 83,812.36

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Solution

The fourth proportional to 145,106.68, 200,189.96 and 83,812.36 is: 115,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,106.68 : 200,189.96 = 83,812.36 : x
  2. Step 2: Convert to fraction form
    145,106.68/200,189.96 = 83,812.36/x
  3. Step 3: Cross multiply
    145,106.68x = 200,189.96 × 83,812.36
  4. Step 4: Simplify right side
    145,106.68x = 16,778,392,995.91
  5. Step 5: Solve for x
    x = 16,778,392,995.91/145,106.68
  6. Step 6: Final answer
    x = 115,627.98

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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.