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Finding the Fourth Proportional to 96,136.64, 131,962.48 and 85,289.12

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Solution

The fourth proportional to 96,136.64, 131,962.48 and 85,289.12 is: 117,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,136.64 : 131,962.48 = 85,289.12 : x
  2. Step 2: Convert to fraction form
    96,136.64/131,962.48 = 85,289.12/x
  3. Step 3: Cross multiply
    96,136.64x = 131,962.48 × 85,289.12
  4. Step 4: Simplify right side
    96,136.64x = 11,254,963,792.22
  5. Step 5: Solve for x
    x = 11,254,963,792.22/96,136.64
  6. Step 6: Final answer
    x = 117,072.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.