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Finding the Fourth Proportional to 230,046, 317,352.18 and 148,352.67

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Solution

The fourth proportional to 230,046, 317,352.18 and 148,352.67 is: 204,654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,046 : 317,352.18 = 148,352.67 : x
  2. Step 2: Convert to fraction form
    230,046/317,352.18 = 148,352.67/x
  3. Step 3: Cross multiply
    230,046x = 317,352.18 × 148,352.67
  4. Step 4: Simplify right side
    230,046x = 47,080,043,233.32
  5. Step 5: Solve for x
    x = 47,080,043,233.32/230,046
  6. Step 6: Final answer
    x = 204,654.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.