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Finding the Fourth Proportional to 171,802.30, 257,266.05 and 163,929.10

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Solution

The fourth proportional to 171,802.30, 257,266.05 and 163,929.10 is: 245,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,802.30 : 257,266.05 = 163,929.10 : x
  2. Step 2: Convert to fraction form
    171,802.30/257,266.05 = 163,929.10/x
  3. Step 3: Cross multiply
    171,802.30x = 257,266.05 × 163,929.10
  4. Step 4: Simplify right side
    171,802.30x = 42,173,392,037.06
  5. Step 5: Solve for x
    x = 42,173,392,037.06/171,802.30
  6. Step 6: Final answer
    x = 245,476.29

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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.