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Finding the Fourth Proportional to 213,529.31, 294,673.95 and 127,495.81

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Solution

The fourth proportional to 213,529.31, 294,673.95 and 127,495.81 is: 175,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,529.31 : 294,673.95 = 127,495.81 : x
  2. Step 2: Convert to fraction form
    213,529.31/294,673.95 = 127,495.81/x
  3. Step 3: Cross multiply
    213,529.31x = 294,673.95 × 127,495.81
  4. Step 4: Simplify right side
    213,529.31x = 37,569,695,138.26
  5. Step 5: Solve for x
    x = 37,569,695,138.26/213,529.31
  6. Step 6: Final answer
    x = 175,946.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.