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Finding the Fourth Proportional to 135,137.40, 202,706.08 and 56,339.76

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Solution

The fourth proportional to 135,137.40, 202,706.08 and 56,339.76 is: 84,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,137.40 : 202,706.08 = 56,339.76 : x
  2. Step 2: Convert to fraction form
    135,137.40/202,706.08 = 56,339.76/x
  3. Step 3: Cross multiply
    135,137.40x = 202,706.08 × 56,339.76
  4. Step 4: Simplify right side
    135,137.40x = 11,420,411,897.74
  5. Step 5: Solve for x
    x = 11,420,411,897.74/135,137.40
  6. Step 6: Final answer
    x = 84,509.63

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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.