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Finding the Fourth Proportional to 209,160.50, 288,605.84 and 118,497.74

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Solution

The fourth proportional to 209,160.50, 288,605.84 and 118,497.74 is: 163,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,160.50 : 288,605.84 = 118,497.74 : x
  2. Step 2: Convert to fraction form
    209,160.50/288,605.84 = 118,497.74/x
  3. Step 3: Cross multiply
    209,160.50x = 288,605.84 × 118,497.74
  4. Step 4: Simplify right side
    209,160.50x = 34,199,137,755.28
  5. Step 5: Solve for x
    x = 34,199,137,755.28/209,160.50
  6. Step 6: Final answer
    x = 163,506.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.