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Finding the Fourth Proportional to 216,352.64, 298,401.92 and 186,188.48

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Solution

The fourth proportional to 216,352.64, 298,401.92 and 186,188.48 is: 256,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,352.64 : 298,401.92 = 186,188.48 : x
  2. Step 2: Convert to fraction form
    216,352.64/298,401.92 = 186,188.48/x
  3. Step 3: Cross multiply
    216,352.64x = 298,401.92 × 186,188.48
  4. Step 4: Simplify right side
    216,352.64x = 55,558,999,913.88
  5. Step 5: Solve for x
    x = 55,558,999,913.88/216,352.64
  6. Step 6: Final answer
    x = 256,798.35

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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.