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Finding the Fourth Proportional to 216,295.86, 324,443.70 and 157,505.64

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Solution

The fourth proportional to 216,295.86, 324,443.70 and 157,505.64 is: 236,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,295.86 : 324,443.70 = 157,505.64 : x
  2. Step 2: Convert to fraction form
    216,295.86/324,443.70 = 157,505.64/x
  3. Step 3: Cross multiply
    216,295.86x = 324,443.70 × 157,505.64
  4. Step 4: Simplify right side
    216,295.86x = 51,101,712,612.47
  5. Step 5: Solve for x
    x = 51,101,712,612.47/216,295.86
  6. Step 6: Final answer
    x = 236,258.39

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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.