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Finding the Fourth Proportional to 299,031.59, 412,656.08 and 163,068.15

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Solution

The fourth proportional to 299,031.59, 412,656.08 and 163,068.15 is: 225,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,031.59 : 412,656.08 = 163,068.15 : x
  2. Step 2: Convert to fraction form
    299,031.59/412,656.08 = 163,068.15/x
  3. Step 3: Cross multiply
    299,031.59x = 412,656.08 × 163,068.15
  4. Step 4: Simplify right side
    299,031.59x = 67,291,062,736.51
  5. Step 5: Solve for x
    x = 67,291,062,736.51/299,031.59
  6. Step 6: Final answer
    x = 225,029.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.