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Finding the Fourth Proportional to 157,170.48, 216,900 and 96,775.98

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Solution

The fourth proportional to 157,170.48, 216,900 and 96,775.98 is: 133,553.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,170.48 : 216,900 = 96,775.98 : x
  2. Step 2: Convert to fraction form
    157,170.48/216,900 = 96,775.98/x
  3. Step 3: Cross multiply
    157,170.48x = 216,900 × 96,775.98
  4. Step 4: Simplify right side
    157,170.48x = 20,990,710,062
  5. Step 5: Solve for x
    x = 20,990,710,062/157,170.48
  6. Step 6: Final answer
    x = 133,553.77

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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.