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Finding the Fourth Proportional to 264,260, 364,678.80 and 158,276

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Solution

The fourth proportional to 264,260, 364,678.80 and 158,276 is: 218,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,260 : 364,678.80 = 158,276 : x
  2. Step 2: Convert to fraction form
    264,260/364,678.80 = 158,276/x
  3. Step 3: Cross multiply
    264,260x = 364,678.80 × 158,276
  4. Step 4: Simplify right side
    264,260x = 57,719,901,748.80
  5. Step 5: Solve for x
    x = 57,719,901,748.80/264,260
  6. Step 6: Final answer
    x = 218,420.88

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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.