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Finding the Fourth Proportional to 249,153.84, 343,787.02 and 147,195.90

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Solution

The fourth proportional to 249,153.84, 343,787.02 and 147,195.90 is: 203,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,153.84 : 343,787.02 = 147,195.90 : x
  2. Step 2: Convert to fraction form
    249,153.84/343,787.02 = 147,195.90/x
  3. Step 3: Cross multiply
    249,153.84x = 343,787.02 × 147,195.90
  4. Step 4: Simplify right side
    249,153.84x = 50,604,039,325.74
  5. Step 5: Solve for x
    x = 50,604,039,325.74/249,153.84
  6. Step 6: Final answer
    x = 203,103.59

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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.