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Finding the Fourth Proportional to 208,027.40, 312,041.10 and 176,534.60

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Solution

The fourth proportional to 208,027.40, 312,041.10 and 176,534.60 is: 264,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,027.40 : 312,041.10 = 176,534.60 : x
  2. Step 2: Convert to fraction form
    208,027.40/312,041.10 = 176,534.60/x
  3. Step 3: Cross multiply
    208,027.40x = 312,041.10 × 176,534.60
  4. Step 4: Simplify right side
    208,027.40x = 55,086,050,772.06
  5. Step 5: Solve for x
    x = 55,086,050,772.06/208,027.40
  6. Step 6: Final answer
    x = 264,801.90

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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.