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Finding the Fourth Proportional to 161,762.72, 242,645.63 and 43,434.06

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Solution

The fourth proportional to 161,762.72, 242,645.63 and 43,434.06 is: 65,151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,762.72 : 242,645.63 = 43,434.06 : x
  2. Step 2: Convert to fraction form
    161,762.72/242,645.63 = 43,434.06/x
  3. Step 3: Cross multiply
    161,762.72x = 242,645.63 × 43,434.06
  4. Step 4: Simplify right side
    161,762.72x = 10,539,084,748.73
  5. Step 5: Solve for x
    x = 10,539,084,748.73/161,762.72
  6. Step 6: Final answer
    x = 65,151.51

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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.