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Finding the Fourth Proportional to 302,197.80, 452,907.90 and 183,743.40

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Solution

The fourth proportional to 302,197.80, 452,907.90 and 183,743.40 is: 275,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,197.80 : 452,907.90 = 183,743.40 : x
  2. Step 2: Convert to fraction form
    302,197.80/452,907.90 = 183,743.40/x
  3. Step 3: Cross multiply
    302,197.80x = 452,907.90 × 183,743.40
  4. Step 4: Simplify right side
    302,197.80x = 83,218,837,432.86
  5. Step 5: Solve for x
    x = 83,218,837,432.86/302,197.80
  6. Step 6: Final answer
    x = 275,378.70

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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.