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Finding the Fourth Proportional to 153,195.84, 229,799.94 and 53,366.14

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Solution

The fourth proportional to 153,195.84, 229,799.94 and 53,366.14 is: 80,051.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,195.84 : 229,799.94 = 53,366.14 : x
  2. Step 2: Convert to fraction form
    153,195.84/229,799.94 = 53,366.14/x
  3. Step 3: Cross multiply
    153,195.84x = 229,799.94 × 53,366.14
  4. Step 4: Simplify right side
    153,195.84x = 12,263,535,857.16
  5. Step 5: Solve for x
    x = 12,263,535,857.16/153,195.84
  6. Step 6: Final answer
    x = 80,051.36

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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.