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Finding the Fourth Proportional to 237,536.40, 355,807.80 and 111,284.40

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Solution

The fourth proportional to 237,536.40, 355,807.80 and 111,284.40 is: 166,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,536.40 : 355,807.80 = 111,284.40 : x
  2. Step 2: Convert to fraction form
    237,536.40/355,807.80 = 111,284.40/x
  3. Step 3: Cross multiply
    237,536.40x = 355,807.80 × 111,284.40
  4. Step 4: Simplify right side
    237,536.40x = 39,595,857,538.32
  5. Step 5: Solve for x
    x = 39,595,857,538.32/237,536.40
  6. Step 6: Final answer
    x = 166,693.85

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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.