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Finding the Fourth Proportional to 228,059.80, 314,717.34 and 127,457.80

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Solution

The fourth proportional to 228,059.80, 314,717.34 and 127,457.80 is: 175,888.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,059.80 : 314,717.34 = 127,457.80 : x
  2. Step 2: Convert to fraction form
    228,059.80/314,717.34 = 127,457.80/x
  3. Step 3: Cross multiply
    228,059.80x = 314,717.34 × 127,457.80
  4. Step 4: Simplify right side
    228,059.80x = 40,113,179,778.25
  5. Step 5: Solve for x
    x = 40,113,179,778.25/228,059.80
  6. Step 6: Final answer
    x = 175,888.87

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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.