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Finding the Fourth Proportional to 157,648.86, 236,049.93 and 98,366.94

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Solution

The fourth proportional to 157,648.86, 236,049.93 and 98,366.94 is: 147,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,648.86 : 236,049.93 = 98,366.94 : x
  2. Step 2: Convert to fraction form
    157,648.86/236,049.93 = 98,366.94/x
  3. Step 3: Cross multiply
    157,648.86x = 236,049.93 × 98,366.94
  4. Step 4: Simplify right side
    157,648.86x = 23,219,509,301.31
  5. Step 5: Solve for x
    x = 23,219,509,301.31/157,648.86
  6. Step 6: Final answer
    x = 147,286.25

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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.