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Finding the Fourth Proportional to 269,346.63, 371,688.76 and 146,836.47

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Solution

The fourth proportional to 269,346.63, 371,688.76 and 146,836.47 is: 202,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,346.63 : 371,688.76 = 146,836.47 : x
  2. Step 2: Convert to fraction form
    269,346.63/371,688.76 = 146,836.47/x
  3. Step 3: Cross multiply
    269,346.63x = 371,688.76 × 146,836.47
  4. Step 4: Simplify right side
    269,346.63x = 54,577,465,457.08
  5. Step 5: Solve for x
    x = 54,577,465,457.08/269,346.63
  6. Step 6: Final answer
    x = 202,629.10

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Why These Related Problems?

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