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Finding the Fourth Proportional to 96,228, 144,402.14 and 46,313.37

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Solution

The fourth proportional to 96,228, 144,402.14 and 46,313.37 is: 69,499.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,228 : 144,402.14 = 46,313.37 : x
  2. Step 2: Convert to fraction form
    96,228/144,402.14 = 46,313.37/x
  3. Step 3: Cross multiply
    96,228x = 144,402.14 × 46,313.37
  4. Step 4: Simplify right side
    96,228x = 6,687,749,854.40
  5. Step 5: Solve for x
    x = 6,687,749,854.40/96,228
  6. Step 6: Final answer
    x = 69,499.00

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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.