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Finding the Fourth Proportional to 232,197.64, 320,459.22 and 156,900.04

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Solution

The fourth proportional to 232,197.64, 320,459.22 and 156,900.04 is: 216,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,197.64 : 320,459.22 = 156,900.04 : x
  2. Step 2: Convert to fraction form
    232,197.64/320,459.22 = 156,900.04/x
  3. Step 3: Cross multiply
    232,197.64x = 320,459.22 × 156,900.04
  4. Step 4: Simplify right side
    232,197.64x = 50,280,064,436.37
  5. Step 5: Solve for x
    x = 50,280,064,436.37/232,197.64
  6. Step 6: Final answer
    x = 216,539.95

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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.