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Finding the Fourth Proportional to 193,254.48, 289,328.76 and 130,813.20

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Solution

The fourth proportional to 193,254.48, 289,328.76 and 130,813.20 is: 195,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,254.48 : 289,328.76 = 130,813.20 : x
  2. Step 2: Convert to fraction form
    193,254.48/289,328.76 = 130,813.20/x
  3. Step 3: Cross multiply
    193,254.48x = 289,328.76 × 130,813.20
  4. Step 4: Simplify right side
    193,254.48x = 37,848,020,947.63
  5. Step 5: Solve for x
    x = 37,848,020,947.63/193,254.48
  6. Step 6: Final answer
    x = 195,845.50

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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.