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Finding the Fourth Proportional to 180,503.82, 249,097.23 and 99,932.67

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Solution

The fourth proportional to 180,503.82, 249,097.23 and 99,932.67 is: 137,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,503.82 : 249,097.23 = 99,932.67 : x
  2. Step 2: Convert to fraction form
    180,503.82/249,097.23 = 99,932.67/x
  3. Step 3: Cross multiply
    180,503.82x = 249,097.23 × 99,932.67
  4. Step 4: Simplify right side
    180,503.82x = 24,892,951,283.50
  5. Step 5: Solve for x
    x = 24,892,951,283.50/180,503.82
  6. Step 6: Final answer
    x = 137,908.17

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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.