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Finding the Fourth Proportional to 230,409, 345,341.96 and 103,901.12

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Solution

The fourth proportional to 230,409, 345,341.96 and 103,901.12 is: 155,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,409 : 345,341.96 = 103,901.12 : x
  2. Step 2: Convert to fraction form
    230,409/345,341.96 = 103,901.12/x
  3. Step 3: Cross multiply
    230,409x = 345,341.96 × 103,901.12
  4. Step 4: Simplify right side
    230,409x = 35,881,416,427.00
  5. Step 5: Solve for x
    x = 35,881,416,427.00/230,409
  6. Step 6: Final answer
    x = 155,729.23

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Why These Related Problems?

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