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Finding the Fourth Proportional to 225,970.64, 338,957.90 and 57,491.12

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Solution

The fourth proportional to 225,970.64, 338,957.90 and 57,491.12 is: 86,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,970.64 : 338,957.90 = 57,491.12 : x
  2. Step 2: Convert to fraction form
    225,970.64/338,957.90 = 57,491.12/x
  3. Step 3: Cross multiply
    225,970.64x = 338,957.90 × 57,491.12
  4. Step 4: Simplify right side
    225,970.64x = 19,487,069,303.85
  5. Step 5: Solve for x
    x = 19,487,069,303.85/225,970.64
  6. Step 6: Final answer
    x = 86,237.17

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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.