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Finding the Fourth Proportional to 365,140, 547,779.12 and 168,148

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Solution

The fourth proportional to 365,140, 547,779.12 and 168,148 is: 252,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,140 : 547,779.12 = 168,148 : x
  2. Step 2: Convert to fraction form
    365,140/547,779.12 = 168,148/x
  3. Step 3: Cross multiply
    365,140x = 547,779.12 × 168,148
  4. Step 4: Simplify right side
    365,140x = 92,107,963,469.76
  5. Step 5: Solve for x
    x = 92,107,963,469.76/365,140
  6. Step 6: Final answer
    x = 252,253.83

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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.