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Finding the Fourth Proportional to 299,159.19, 448,678.43 and 109,554.83

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Solution

The fourth proportional to 299,159.19, 448,678.43 and 109,554.83 is: 164,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,159.19 : 448,678.43 = 109,554.83 : x
  2. Step 2: Convert to fraction form
    299,159.19/448,678.43 = 109,554.83/x
  3. Step 3: Cross multiply
    299,159.19x = 448,678.43 × 109,554.83
  4. Step 4: Simplify right side
    299,159.19x = 49,154,889,697.24
  5. Step 5: Solve for x
    x = 49,154,889,697.24/299,159.19
  6. Step 6: Final answer
    x = 164,310.14

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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.