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Finding the Fourth Proportional to 193,321.31, 289,593.95 and 98,547.67

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Solution

The fourth proportional to 193,321.31, 289,593.95 and 98,547.67 is: 147,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,321.31 : 289,593.95 = 98,547.67 : x
  2. Step 2: Convert to fraction form
    193,321.31/289,593.95 = 98,547.67/x
  3. Step 3: Cross multiply
    193,321.31x = 289,593.95 × 98,547.67
  4. Step 4: Simplify right side
    193,321.31x = 28,538,807,801.87
  5. Step 5: Solve for x
    x = 28,538,807,801.87/193,321.31
  6. Step 6: Final answer
    x = 147,623.70

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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.