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Finding the Fourth Proportional to 153,193.50, 211,407.04 and 89,584.74

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Solution

The fourth proportional to 153,193.50, 211,407.04 and 89,584.74 is: 123,626.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,193.50 : 211,407.04 = 89,584.74 : x
  2. Step 2: Convert to fraction form
    153,193.50/211,407.04 = 89,584.74/x
  3. Step 3: Cross multiply
    153,193.50x = 211,407.04 × 89,584.74
  4. Step 4: Simplify right side
    153,193.50x = 18,938,844,712.57
  5. Step 5: Solve for x
    x = 18,938,844,712.57/153,193.50
  6. Step 6: Final answer
    x = 123,626.95

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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.