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Finding the Fourth Proportional to 228,113.04, 314,807.96 and 137,497.80

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Solution

The fourth proportional to 228,113.04, 314,807.96 and 137,497.80 is: 189,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,113.04 : 314,807.96 = 137,497.80 : x
  2. Step 2: Convert to fraction form
    228,113.04/314,807.96 = 137,497.80/x
  3. Step 3: Cross multiply
    228,113.04x = 314,807.96 × 137,497.80
  4. Step 4: Simplify right side
    228,113.04x = 43,285,401,922.49
  5. Step 5: Solve for x
    x = 43,285,401,922.49/228,113.04
  6. Step 6: Final answer
    x = 189,754.18

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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.