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Finding the Fourth Proportional to 153,930.40, 230,458.20 and 136,434.40

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Solution

The fourth proportional to 153,930.40, 230,458.20 and 136,434.40 is: 204,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,930.40 : 230,458.20 = 136,434.40 : x
  2. Step 2: Convert to fraction form
    153,930.40/230,458.20 = 136,434.40/x
  3. Step 3: Cross multiply
    153,930.40x = 230,458.20 × 136,434.40
  4. Step 4: Simplify right side
    153,930.40x = 31,442,426,242.08
  5. Step 5: Solve for x
    x = 31,442,426,242.08/153,930.40
  6. Step 6: Final answer
    x = 204,263.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.