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Finding the Fourth Proportional to 228,074.16, 314,754.24 and 137,458.80

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Solution

The fourth proportional to 228,074.16, 314,754.24 and 137,458.80 is: 189,700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,074.16 : 314,754.24 = 137,458.80 : x
  2. Step 2: Convert to fraction form
    228,074.16/314,754.24 = 137,458.80/x
  3. Step 3: Cross multiply
    228,074.16x = 314,754.24 × 137,458.80
  4. Step 4: Simplify right side
    228,074.16x = 43,265,740,125.31
  5. Step 5: Solve for x
    x = 43,265,740,125.31/228,074.16
  6. Step 6: Final answer
    x = 189,700.32

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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.