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Finding the Fourth Proportional to 343,281.20, 514,913.70 and 93,963.20

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Solution

The fourth proportional to 343,281.20, 514,913.70 and 93,963.20 is: 140,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,281.20 : 514,913.70 = 93,963.20 : x
  2. Step 2: Convert to fraction form
    343,281.20/514,913.70 = 93,963.20/x
  3. Step 3: Cross multiply
    343,281.20x = 514,913.70 × 93,963.20
  4. Step 4: Simplify right side
    343,281.20x = 48,382,938,975.84
  5. Step 5: Solve for x
    x = 48,382,938,975.84/343,281.20
  6. Step 6: Final answer
    x = 140,942.58

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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.