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Finding the Fourth Proportional to 114,423, 157,912.38 and 64,125.24

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Solution

The fourth proportional to 114,423, 157,912.38 and 64,125.24 is: 88,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,423 : 157,912.38 = 64,125.24 : x
  2. Step 2: Convert to fraction form
    114,423/157,912.38 = 64,125.24/x
  3. Step 3: Cross multiply
    114,423x = 157,912.38 × 64,125.24
  4. Step 4: Simplify right side
    114,423x = 10,126,169,266.47
  5. Step 5: Solve for x
    x = 10,126,169,266.47/114,423
  6. Step 6: Final answer
    x = 88,497.67

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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.