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Finding the Fourth Proportional to 337,012.84, 465,068.82 and 186,106.60

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Solution

The fourth proportional to 337,012.84, 465,068.82 and 186,106.60 is: 256,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,012.84 : 465,068.82 = 186,106.60 : x
  2. Step 2: Convert to fraction form
    337,012.84/465,068.82 = 186,106.60/x
  3. Step 3: Cross multiply
    337,012.84x = 465,068.82 × 186,106.60
  4. Step 4: Simplify right side
    337,012.84x = 86,552,376,856.21
  5. Step 5: Solve for x
    x = 86,552,376,856.21/337,012.84
  6. Step 6: Final answer
    x = 256,822.19

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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.