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Finding the Fourth Proportional to 210,881.04, 316,321.76 and 86,222.04

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Solution

The fourth proportional to 210,881.04, 316,321.76 and 86,222.04 is: 129,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,881.04 : 316,321.76 = 86,222.04 : x
  2. Step 2: Convert to fraction form
    210,881.04/316,321.76 = 86,222.04/x
  3. Step 3: Cross multiply
    210,881.04x = 316,321.76 × 86,222.04
  4. Step 4: Simplify right side
    210,881.04x = 27,273,907,443.59
  5. Step 5: Solve for x
    x = 27,273,907,443.59/210,881.04
  6. Step 6: Final answer
    x = 129,333.14

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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.