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Finding the Fourth Proportional to 229,197.94, 343,485.44 and 86,966.74

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Solution

The fourth proportional to 229,197.94, 343,485.44 and 86,966.74 is: 130,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,197.94 : 343,485.44 = 86,966.74 : x
  2. Step 2: Convert to fraction form
    229,197.94/343,485.44 = 86,966.74/x
  3. Step 3: Cross multiply
    229,197.94x = 343,485.44 × 86,966.74
  4. Step 4: Simplify right side
    229,197.94x = 29,871,808,064.27
  5. Step 5: Solve for x
    x = 29,871,808,064.27/229,197.94
  6. Step 6: Final answer
    x = 130,331.92

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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.