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Finding the Fourth Proportional to 502,106.24, 753,165.48 and 147,127.44

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Solution

The fourth proportional to 502,106.24, 753,165.48 and 147,127.44 is: 220,692.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,106.24 : 753,165.48 = 147,127.44 : x
  2. Step 2: Convert to fraction form
    502,106.24/753,165.48 = 147,127.44/x
  3. Step 3: Cross multiply
    502,106.24x = 753,165.48 × 147,127.44
  4. Step 4: Simplify right side
    502,106.24x = 110,811,308,968.77
  5. Step 5: Solve for x
    x = 110,811,308,968.77/502,106.24
  6. Step 6: Final answer
    x = 220,692.95

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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.