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Finding the Fourth Proportional to 141,452.28, 211,894.32 and 65,444.40

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Solution

The fourth proportional to 141,452.28, 211,894.32 and 65,444.40 is: 98,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,452.28 : 211,894.32 = 65,444.40 : x
  2. Step 2: Convert to fraction form
    141,452.28/211,894.32 = 65,444.40/x
  3. Step 3: Cross multiply
    141,452.28x = 211,894.32 × 65,444.40
  4. Step 4: Simplify right side
    141,452.28x = 13,867,296,635.81
  5. Step 5: Solve for x
    x = 13,867,296,635.81/141,452.28
  6. Step 6: Final answer
    x = 98,035.16

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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.