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Finding the Fourth Proportional to 210,706.98, 316,052.04 and 116,124.66

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Solution

The fourth proportional to 210,706.98, 316,052.04 and 116,124.66 is: 174,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,706.98 : 316,052.04 = 116,124.66 : x
  2. Step 2: Convert to fraction form
    210,706.98/316,052.04 = 116,124.66/x
  3. Step 3: Cross multiply
    210,706.98x = 316,052.04 × 116,124.66
  4. Step 4: Simplify right side
    210,706.98x = 36,701,435,687.31
  5. Step 5: Solve for x
    x = 36,701,435,687.31/210,706.98
  6. Step 6: Final answer
    x = 174,182.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.