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Finding the Fourth Proportional to 210,852.38, 316,278.86 and 86,193.38

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Solution

The fourth proportional to 210,852.38, 316,278.86 and 86,193.38 is: 129,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,852.38 : 316,278.86 = 86,193.38 : x
  2. Step 2: Convert to fraction form
    210,852.38/316,278.86 = 86,193.38/x
  3. Step 3: Cross multiply
    210,852.38x = 316,278.86 × 86,193.38
  4. Step 4: Simplify right side
    210,852.38x = 27,261,141,953.59
  5. Step 5: Solve for x
    x = 27,261,141,953.59/210,852.38
  6. Step 6: Final answer
    x = 129,290.18

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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.