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Finding the Fourth Proportional to 153,284.46, 229,926.78 and 42,476.46

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Solution

The fourth proportional to 153,284.46, 229,926.78 and 42,476.46 is: 63,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,284.46 : 229,926.78 = 42,476.46 : x
  2. Step 2: Convert to fraction form
    153,284.46/229,926.78 = 42,476.46/x
  3. Step 3: Cross multiply
    153,284.46x = 229,926.78 × 42,476.46
  4. Step 4: Simplify right side
    153,284.46x = 9,766,475,673.60
  5. Step 5: Solve for x
    x = 9,766,475,673.60/153,284.46
  6. Step 6: Final answer
    x = 63,714.71

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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.