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Finding the Fourth Proportional to 210,592.76, 316,036.74 and 121,724

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Solution

The fourth proportional to 210,592.76, 316,036.74 and 121,724 is: 182,671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,592.76 : 316,036.74 = 121,724 : x
  2. Step 2: Convert to fraction form
    210,592.76/316,036.74 = 121,724/x
  3. Step 3: Cross multiply
    210,592.76x = 316,036.74 × 121,724
  4. Step 4: Simplify right side
    210,592.76x = 38,469,256,139.76
  5. Step 5: Solve for x
    x = 38,469,256,139.76/210,592.76
  6. Step 6: Final answer
    x = 182,671.31

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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.