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Finding the Fourth Proportional to 228,244.86, 314,950.14 and 126,256.68

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Solution

The fourth proportional to 228,244.86, 314,950.14 and 126,256.68 is: 174,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,244.86 : 314,950.14 = 126,256.68 : x
  2. Step 2: Convert to fraction form
    228,244.86/314,950.14 = 126,256.68/x
  3. Step 3: Cross multiply
    228,244.86x = 314,950.14 × 126,256.68
  4. Step 4: Simplify right side
    228,244.86x = 39,764,559,041.94
  5. Step 5: Solve for x
    x = 39,764,559,041.94/228,244.86
  6. Step 6: Final answer
    x = 174,218.86

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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.