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Finding the Fourth Proportional to 157,121.84, 216,832.74 and 85,506.50

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Solution

The fourth proportional to 157,121.84, 216,832.74 and 85,506.50 is: 118,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,121.84 : 216,832.74 = 85,506.50 : x
  2. Step 2: Convert to fraction form
    157,121.84/216,832.74 = 85,506.50/x
  3. Step 3: Cross multiply
    157,121.84x = 216,832.74 × 85,506.50
  4. Step 4: Simplify right side
    157,121.84x = 18,540,608,682.81
  5. Step 5: Solve for x
    x = 18,540,608,682.81/157,121.84
  6. Step 6: Final answer
    x = 118,001.47

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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.