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Finding the Fourth Proportional to 312,526.63, 468,822.89 and 102,164.23

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Solution

The fourth proportional to 312,526.63, 468,822.89 and 102,164.23 is: 153,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,526.63 : 468,822.89 = 102,164.23 : x
  2. Step 2: Convert to fraction form
    312,526.63/468,822.89 = 102,164.23/x
  3. Step 3: Cross multiply
    312,526.63x = 468,822.89 × 102,164.23
  4. Step 4: Simplify right side
    312,526.63x = 47,896,929,563.22
  5. Step 5: Solve for x
    x = 47,896,929,563.22/312,526.63
  6. Step 6: Final answer
    x = 153,257.11

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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.