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Finding the Fourth Proportional to 230,743.30, 346,114.95 and 163,821.10

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Solution

The fourth proportional to 230,743.30, 346,114.95 and 163,821.10 is: 245,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,743.30 : 346,114.95 = 163,821.10 : x
  2. Step 2: Convert to fraction form
    230,743.30/346,114.95 = 163,821.10/x
  3. Step 3: Cross multiply
    230,743.30x = 346,114.95 × 163,821.10
  4. Step 4: Simplify right side
    230,743.30x = 56,700,931,835.45
  5. Step 5: Solve for x
    x = 56,700,931,835.45/230,743.30
  6. Step 6: Final answer
    x = 245,731.65

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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.