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Finding the Fourth Proportional to 212,854.76, 293,752.68 and 117,361.16

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Solution

The fourth proportional to 212,854.76, 293,752.68 and 117,361.16 is: 161,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,854.76 : 293,752.68 = 117,361.16 : x
  2. Step 2: Convert to fraction form
    212,854.76/293,752.68 = 117,361.16/x
  3. Step 3: Cross multiply
    212,854.76x = 293,752.68 × 117,361.16
  4. Step 4: Simplify right side
    212,854.76x = 34,475,155,277.91
  5. Step 5: Solve for x
    x = 34,475,155,277.91/212,854.76
  6. Step 6: Final answer
    x = 161,965.63

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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.