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Finding the Fourth Proportional to 156,894.06, 216,515.13 and 85,274.07

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Solution

The fourth proportional to 156,894.06, 216,515.13 and 85,274.07 is: 117,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,894.06 : 216,515.13 = 85,274.07 : x
  2. Step 2: Convert to fraction form
    156,894.06/216,515.13 = 85,274.07/x
  3. Step 3: Cross multiply
    156,894.06x = 216,515.13 × 85,274.07
  4. Step 4: Simplify right side
    156,894.06x = 18,463,125,219.97
  5. Step 5: Solve for x
    x = 18,463,125,219.97/156,894.06
  6. Step 6: Final answer
    x = 117,678.93

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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.