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Finding the Fourth Proportional to 212,578.84, 293,347.73 and 132,004.64

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Solution

The fourth proportional to 212,578.84, 293,347.73 and 132,004.64 is: 182,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,578.84 : 293,347.73 = 132,004.64 : x
  2. Step 2: Convert to fraction form
    212,578.84/293,347.73 = 132,004.64/x
  3. Step 3: Cross multiply
    212,578.84x = 293,347.73 × 132,004.64
  4. Step 4: Simplify right side
    212,578.84x = 38,723,259,366.71
  5. Step 5: Solve for x
    x = 38,723,259,366.71/212,578.84
  6. Step 6: Final answer
    x = 182,159.52

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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.