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Finding the Fourth Proportional to 136,807.84, 205,232.34 and 48,045.76

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Solution

The fourth proportional to 136,807.84, 205,232.34 and 48,045.76 is: 72,075.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,807.84 : 205,232.34 = 48,045.76 : x
  2. Step 2: Convert to fraction form
    136,807.84/205,232.34 = 48,045.76/x
  3. Step 3: Cross multiply
    136,807.84x = 205,232.34 × 48,045.76
  4. Step 4: Simplify right side
    136,807.84x = 9,860,543,751.88
  5. Step 5: Solve for x
    x = 9,860,543,751.88/136,807.84
  6. Step 6: Final answer
    x = 72,075.87

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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.