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Finding the Fourth Proportional to 273,970.14, 410,938.80 and 114,005.67

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Solution

The fourth proportional to 273,970.14, 410,938.80 and 114,005.67 is: 171,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,970.14 : 410,938.80 = 114,005.67 : x
  2. Step 2: Convert to fraction form
    273,970.14/410,938.80 = 114,005.67/x
  3. Step 3: Cross multiply
    273,970.14x = 410,938.80 × 114,005.67
  4. Step 4: Simplify right side
    273,970.14x = 46,849,353,223.00
  5. Step 5: Solve for x
    x = 46,849,353,223.00/273,970.14
  6. Step 6: Final answer
    x = 171,001.68

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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.