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Finding the Fourth Proportional to 361,353.80, 542,030.70 and 184,206.80

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Solution

The fourth proportional to 361,353.80, 542,030.70 and 184,206.80 is: 276,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,353.80 : 542,030.70 = 184,206.80 : x
  2. Step 2: Convert to fraction form
    361,353.80/542,030.70 = 184,206.80/x
  3. Step 3: Cross multiply
    361,353.80x = 542,030.70 × 184,206.80
  4. Step 4: Simplify right side
    361,353.80x = 99,845,740,748.76
  5. Step 5: Solve for x
    x = 99,845,740,748.76/361,353.80
  6. Step 6: Final answer
    x = 276,310.20

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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.