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Finding the Fourth Proportional to 140,914.43, 211,368.51 and 34,298.84

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Solution

The fourth proportional to 140,914.43, 211,368.51 and 34,298.84 is: 51,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,914.43 : 211,368.51 = 34,298.84 : x
  2. Step 2: Convert to fraction form
    140,914.43/211,368.51 = 34,298.84/x
  3. Step 3: Cross multiply
    140,914.43x = 211,368.51 × 34,298.84
  4. Step 4: Simplify right side
    140,914.43x = 7,249,694,705.53
  5. Step 5: Solve for x
    x = 7,249,694,705.53/140,914.43
  6. Step 6: Final answer
    x = 51,447.50

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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.