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Finding the Fourth Proportional to 190,998.15, 287,607 and 141,429.39

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Solution

The fourth proportional to 190,998.15, 287,607 and 141,429.39 is: 212,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,998.15 : 287,607 = 141,429.39 : x
  2. Step 2: Convert to fraction form
    190,998.15/287,607 = 141,429.39/x
  3. Step 3: Cross multiply
    190,998.15x = 287,607 × 141,429.39
  4. Step 4: Simplify right side
    190,998.15x = 40,676,082,569.73
  5. Step 5: Solve for x
    x = 40,676,082,569.73/190,998.15
  6. Step 6: Final answer
    x = 212,965.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.