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Finding the Fourth Proportional to 145,960.80, 218,941.20 and 96,097.20

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Solution

The fourth proportional to 145,960.80, 218,941.20 and 96,097.20 is: 144,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,960.80 : 218,941.20 = 96,097.20 : x
  2. Step 2: Convert to fraction form
    145,960.80/218,941.20 = 96,097.20/x
  3. Step 3: Cross multiply
    145,960.80x = 218,941.20 × 96,097.20
  4. Step 4: Simplify right side
    145,960.80x = 21,039,636,284.64
  5. Step 5: Solve for x
    x = 21,039,636,284.64/145,960.80
  6. Step 6: Final answer
    x = 144,145.80

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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.