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Finding the Fourth Proportional to 96,119.68, 144,088.80 and 46,228

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Solution

The fourth proportional to 96,119.68, 144,088.80 and 46,228 is: 69,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,119.68 : 144,088.80 = 46,228 : x
  2. Step 2: Convert to fraction form
    96,119.68/144,088.80 = 46,228/x
  3. Step 3: Cross multiply
    96,119.68x = 144,088.80 × 46,228
  4. Step 4: Simplify right side
    96,119.68x = 6,660,937,046.40
  5. Step 5: Solve for x
    x = 6,660,937,046.40/96,119.68
  6. Step 6: Final answer
    x = 69,298.37

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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.