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Finding the Fourth Proportional to 161,766.30, 242,649.45 and 105,779.10

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Solution

The fourth proportional to 161,766.30, 242,649.45 and 105,779.10 is: 158,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,766.30 : 242,649.45 = 105,779.10 : x
  2. Step 2: Convert to fraction form
    161,766.30/242,649.45 = 105,779.10/x
  3. Step 3: Cross multiply
    161,766.30x = 242,649.45 × 105,779.10
  4. Step 4: Simplify right side
    161,766.30x = 25,667,240,436.50
  5. Step 5: Solve for x
    x = 25,667,240,436.50/161,766.30
  6. Step 6: Final answer
    x = 158,668.65

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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.