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Finding the Fourth Proportional to 253,415.58, 349,678.87 and 151,419.50

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Solution

The fourth proportional to 253,415.58, 349,678.87 and 151,419.50 is: 208,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,415.58 : 349,678.87 = 151,419.50 : x
  2. Step 2: Convert to fraction form
    253,415.58/349,678.87 = 151,419.50/x
  3. Step 3: Cross multiply
    253,415.58x = 349,678.87 × 151,419.50
  4. Step 4: Simplify right side
    253,415.58x = 52,948,199,655.97
  5. Step 5: Solve for x
    x = 52,948,199,655.97/253,415.58
  6. Step 6: Final answer
    x = 208,938.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.