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Finding the Fourth Proportional to 190,937.80, 286,406.70 and 146,787.40

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Solution

The fourth proportional to 190,937.80, 286,406.70 and 146,787.40 is: 220,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,937.80 : 286,406.70 = 146,787.40 : x
  2. Step 2: Convert to fraction form
    190,937.80/286,406.70 = 146,787.40/x
  3. Step 3: Cross multiply
    190,937.80x = 286,406.70 × 146,787.40
  4. Step 4: Simplify right side
    190,937.80x = 42,040,894,835.58
  5. Step 5: Solve for x
    x = 42,040,894,835.58/190,937.80
  6. Step 6: Final answer
    x = 220,181.10

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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.