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Finding the Fourth Proportional to 156,902.94, 216,435.78 and 96,430.68

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Solution

The fourth proportional to 156,902.94, 216,435.78 and 96,430.68 is: 133,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,902.94 : 216,435.78 = 96,430.68 : x
  2. Step 2: Convert to fraction form
    156,902.94/216,435.78 = 96,430.68/x
  3. Step 3: Cross multiply
    156,902.94x = 216,435.78 × 96,430.68
  4. Step 4: Simplify right side
    156,902.94x = 20,871,049,441.73
  5. Step 5: Solve for x
    x = 20,871,049,441.73/156,902.94
  6. Step 6: Final answer
    x = 133,018.86

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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.