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Finding the Fourth Proportional to 141,352.20, 211,742.04 and 65,342.76

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Solution

The fourth proportional to 141,352.20, 211,742.04 and 65,342.76 is: 97,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,352.20 : 211,742.04 = 65,342.76 : x
  2. Step 2: Convert to fraction form
    141,352.20/211,742.04 = 65,342.76/x
  3. Step 3: Cross multiply
    141,352.20x = 211,742.04 × 65,342.76
  4. Step 4: Simplify right side
    141,352.20x = 13,835,809,301.63
  5. Step 5: Solve for x
    x = 13,835,809,301.63/141,352.20
  6. Step 6: Final answer
    x = 97,881.81

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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.