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Finding the Fourth Proportional to 156,708.32, 216,258.34 and 85,088.34

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Solution

The fourth proportional to 156,708.32, 216,258.34 and 85,088.34 is: 117,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,708.32 : 216,258.34 = 85,088.34 : x
  2. Step 2: Convert to fraction form
    156,708.32/216,258.34 = 85,088.34/x
  3. Step 3: Cross multiply
    156,708.32x = 216,258.34 × 85,088.34
  4. Step 4: Simplify right side
    156,708.32x = 18,401,063,161.76
  5. Step 5: Solve for x
    x = 18,401,063,161.76/156,708.32
  6. Step 6: Final answer
    x = 117,422.38

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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.