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Finding the Fourth Proportional to 230,966, 346,459.08 and 73,206.08

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Solution

The fourth proportional to 230,966, 346,459.08 and 73,206.08 is: 109,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,966 : 346,459.08 = 73,206.08 : x
  2. Step 2: Convert to fraction form
    230,966/346,459.08 = 73,206.08/x
  3. Step 3: Cross multiply
    230,966x = 346,459.08 × 73,206.08
  4. Step 4: Simplify right side
    230,966x = 25,362,911,127.21
  5. Step 5: Solve for x
    x = 25,362,911,127.21/230,966
  6. Step 6: Final answer
    x = 109,812.31

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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.