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Finding the Fourth Proportional to 157,542.88, 217,403.76 and 93,847.60

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Solution

The fourth proportional to 157,542.88, 217,403.76 and 93,847.60 is: 129,506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,542.88 : 217,403.76 = 93,847.60 : x
  2. Step 2: Convert to fraction form
    157,542.88/217,403.76 = 93,847.60/x
  3. Step 3: Cross multiply
    157,542.88x = 217,403.76 × 93,847.60
  4. Step 4: Simplify right side
    157,542.88x = 20,402,821,106.98
  5. Step 5: Solve for x
    x = 20,402,821,106.98/157,542.88
  6. Step 6: Final answer
    x = 129,506.46

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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.