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Finding the Fourth Proportional to 213,701.60, 320,552.40 and 89,026.40

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Solution

The fourth proportional to 213,701.60, 320,552.40 and 89,026.40 is: 133,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,701.60 : 320,552.40 = 89,026.40 : x
  2. Step 2: Convert to fraction form
    213,701.60/320,552.40 = 89,026.40/x
  3. Step 3: Cross multiply
    213,701.60x = 320,552.40 × 89,026.40
  4. Step 4: Simplify right side
    213,701.60x = 28,537,626,183.36
  5. Step 5: Solve for x
    x = 28,537,626,183.36/213,701.60
  6. Step 6: Final answer
    x = 133,539.60

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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.