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Finding the Fourth Proportional to 269,071.60, 402,829.80 and 164,095.60

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Solution

The fourth proportional to 269,071.60, 402,829.80 and 164,095.60 is: 245,669.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,071.60 : 402,829.80 = 164,095.60 : x
  2. Step 2: Convert to fraction form
    269,071.60/402,829.80 = 164,095.60/x
  3. Step 3: Cross multiply
    269,071.60x = 402,829.80 × 164,095.60
  4. Step 4: Simplify right side
    269,071.60x = 66,102,597,728.88
  5. Step 5: Solve for x
    x = 66,102,597,728.88/269,071.60
  6. Step 6: Final answer
    x = 245,669.17

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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.