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Finding the Fourth Proportional to 146,716, 202,592.10 and 93,096.16

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Solution

The fourth proportional to 146,716, 202,592.10 and 93,096.16 is: 128,551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,716 : 202,592.10 = 93,096.16 : x
  2. Step 2: Convert to fraction form
    146,716/202,592.10 = 93,096.16/x
  3. Step 3: Cross multiply
    146,716x = 202,592.10 × 93,096.16
  4. Step 4: Simplify right side
    146,716x = 18,860,546,556.34
  5. Step 5: Solve for x
    x = 18,860,546,556.34/146,716
  6. Step 6: Final answer
    x = 128,551.40

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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.