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Finding the Fourth Proportional to 114,425, 157,915.14 and 64,127.24

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Solution

The fourth proportional to 114,425, 157,915.14 and 64,127.24 is: 88,500.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,425 : 157,915.14 = 64,127.24 : x
  2. Step 2: Convert to fraction form
    114,425/157,915.14 = 64,127.24/x
  3. Step 3: Cross multiply
    114,425x = 157,915.14 × 64,127.24
  4. Step 4: Simplify right side
    114,425x = 10,126,662,082.41
  5. Step 5: Solve for x
    x = 10,126,662,082.41/114,425
  6. Step 6: Final answer
    x = 88,500.43

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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.