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Finding the Fourth Proportional to 139,482.84, 209,225.72 and 55,263.50

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Solution

The fourth proportional to 139,482.84, 209,225.72 and 55,263.50 is: 82,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,482.84 : 209,225.72 = 55,263.50 : x
  2. Step 2: Convert to fraction form
    139,482.84/209,225.72 = 55,263.50/x
  3. Step 3: Cross multiply
    139,482.84x = 209,225.72 × 55,263.50
  4. Step 4: Simplify right side
    139,482.84x = 11,562,545,577.22
  5. Step 5: Solve for x
    x = 11,562,545,577.22/139,482.84
  6. Step 6: Final answer
    x = 82,895.83

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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.