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Finding the Fourth Proportional to 231,810.40, 347,715.60 and 107,151.40

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Solution

The fourth proportional to 231,810.40, 347,715.60 and 107,151.40 is: 160,727.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,810.40 : 347,715.60 = 107,151.40 : x
  2. Step 2: Convert to fraction form
    231,810.40/347,715.60 = 107,151.40/x
  3. Step 3: Cross multiply
    231,810.40x = 347,715.60 × 107,151.40
  4. Step 4: Simplify right side
    231,810.40x = 37,258,213,341.84
  5. Step 5: Solve for x
    x = 37,258,213,341.84/231,810.40
  6. Step 6: Final answer
    x = 160,727.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.