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Finding the Fourth Proportional to 161,978.40, 223,529.85 and 90,354.15

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Solution

The fourth proportional to 161,978.40, 223,529.85 and 90,354.15 is: 124,688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,978.40 : 223,529.85 = 90,354.15 : x
  2. Step 2: Convert to fraction form
    161,978.40/223,529.85 = 90,354.15/x
  3. Step 3: Cross multiply
    161,978.40x = 223,529.85 × 90,354.15
  4. Step 4: Simplify right side
    161,978.40x = 20,196,849,596.38
  5. Step 5: Solve for x
    x = 20,196,849,596.38/161,978.40
  6. Step 6: Final answer
    x = 124,688.54

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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.