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Finding the Fourth Proportional to 230,822.32, 346,271.76 and 81,023.76

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Solution

The fourth proportional to 230,822.32, 346,271.76 and 81,023.76 is: 121,549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,822.32 : 346,271.76 = 81,023.76 : x
  2. Step 2: Convert to fraction form
    230,822.32/346,271.76 = 81,023.76/x
  3. Step 3: Cross multiply
    230,822.32x = 346,271.76 × 81,023.76
  4. Step 4: Simplify right side
    230,822.32x = 28,056,239,977.02
  5. Step 5: Solve for x
    x = 28,056,239,977.02/230,822.32
  6. Step 6: Final answer
    x = 121,549.08

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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.