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Finding the Fourth Proportional to 166,678.38, 230,090.04 and 106,328.16

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Solution

The fourth proportional to 166,678.38, 230,090.04 and 106,328.16 is: 146,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,678.38 : 230,090.04 = 106,328.16 : x
  2. Step 2: Convert to fraction form
    166,678.38/230,090.04 = 106,328.16/x
  3. Step 3: Cross multiply
    166,678.38x = 230,090.04 × 106,328.16
  4. Step 4: Simplify right side
    166,678.38x = 24,465,050,587.53
  5. Step 5: Solve for x
    x = 24,465,050,587.53/166,678.38
  6. Step 6: Final answer
    x = 146,779.99

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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.