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Finding the Fourth Proportional to 264,262, 364,681.56 and 158,278

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Solution

The fourth proportional to 264,262, 364,681.56 and 158,278 is: 218,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,262 : 364,681.56 = 158,278 : x
  2. Step 2: Convert to fraction form
    264,262/364,681.56 = 158,278/x
  3. Step 3: Cross multiply
    264,262x = 364,681.56 × 158,278
  4. Step 4: Simplify right side
    264,262x = 57,721,067,953.68
  5. Step 5: Solve for x
    x = 57,721,067,953.68/264,262
  6. Step 6: Final answer
    x = 218,423.64

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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.