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Finding the Fourth Proportional to 230,731.80, 346,097.70 and 151,416.60

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Solution

The fourth proportional to 230,731.80, 346,097.70 and 151,416.60 is: 227,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,731.80 : 346,097.70 = 151,416.60 : x
  2. Step 2: Convert to fraction form
    230,731.80/346,097.70 = 151,416.60/x
  3. Step 3: Cross multiply
    230,731.80x = 346,097.70 × 151,416.60
  4. Step 4: Simplify right side
    230,731.80x = 52,404,937,001.82
  5. Step 5: Solve for x
    x = 52,404,937,001.82/230,731.80
  6. Step 6: Final answer
    x = 227,124.90

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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.