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Finding the Fourth Proportional to 359,113.74, 538,667.28 and 137,497.74

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Solution

The fourth proportional to 359,113.74, 538,667.28 and 137,497.74 is: 206,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,113.74 : 538,667.28 = 137,497.74 : x
  2. Step 2: Convert to fraction form
    359,113.74/538,667.28 = 137,497.74/x
  3. Step 3: Cross multiply
    359,113.74x = 538,667.28 × 137,497.74
  4. Step 4: Simplify right side
    359,113.74x = 74,065,533,611.95
  5. Step 5: Solve for x
    x = 74,065,533,611.95/359,113.74
  6. Step 6: Final answer
    x = 206,245.34

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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.