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Finding the Fourth Proportional to 208,010.40, 312,015.60 and 145,024.80

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Solution

The fourth proportional to 208,010.40, 312,015.60 and 145,024.80 is: 217,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,010.40 : 312,015.60 = 145,024.80 : x
  2. Step 2: Convert to fraction form
    208,010.40/312,015.60 = 145,024.80/x
  3. Step 3: Cross multiply
    208,010.40x = 312,015.60 × 145,024.80
  4. Step 4: Simplify right side
    208,010.40x = 45,249,999,986.88
  5. Step 5: Solve for x
    x = 45,249,999,986.88/208,010.40
  6. Step 6: Final answer
    x = 217,537.20

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1.5x scale

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.