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Finding the Fourth Proportional to 213,390.46, 294,386.32 and 128,458.31

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Solution

The fourth proportional to 213,390.46, 294,386.32 and 128,458.31 is: 177,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,390.46 : 294,386.32 = 128,458.31 : x
  2. Step 2: Convert to fraction form
    213,390.46/294,386.32 = 128,458.31/x
  3. Step 3: Cross multiply
    213,390.46x = 294,386.32 × 128,458.31
  4. Step 4: Simplify right side
    213,390.46x = 37,816,369,569.14
  5. Step 5: Solve for x
    x = 37,816,369,569.14/213,390.46
  6. Step 6: Final answer
    x = 177,216.78

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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.