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Finding the Fourth Proportional to 114,469.07, 157,966.81 and 64,168.07

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Solution

The fourth proportional to 114,469.07, 157,966.81 and 64,168.07 is: 88,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,469.07 : 157,966.81 = 64,168.07 : x
  2. Step 2: Convert to fraction form
    114,469.07/157,966.81 = 64,168.07/x
  3. Step 3: Cross multiply
    114,469.07x = 157,966.81 × 64,168.07
  4. Step 4: Simplify right side
    114,469.07x = 10,136,424,371.50
  5. Step 5: Solve for x
    x = 10,136,424,371.50/114,469.07
  6. Step 6: Final answer
    x = 88,551.65

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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.