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Finding the Fourth Proportional to 230,598, 345,948.12 and 70,696.08

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Solution

The fourth proportional to 230,598, 345,948.12 and 70,696.08 is: 106,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,598 : 345,948.12 = 70,696.08 : x
  2. Step 2: Convert to fraction form
    230,598/345,948.12 = 70,696.08/x
  3. Step 3: Cross multiply
    230,598x = 345,948.12 × 70,696.08
  4. Step 4: Simplify right side
    230,598x = 24,457,175,967.37
  5. Step 5: Solve for x
    x = 24,457,175,967.37/230,598
  6. Step 6: Final answer
    x = 106,059.79

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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.