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Finding the Fourth Proportional to 345,378, 518,096.34 and 96,060

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Solution

The fourth proportional to 345,378, 518,096.34 and 96,060 is: 144,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,378 : 518,096.34 = 96,060 : x
  2. Step 2: Convert to fraction form
    345,378/518,096.34 = 96,060/x
  3. Step 3: Cross multiply
    345,378x = 518,096.34 × 96,060
  4. Step 4: Simplify right side
    345,378x = 49,768,334,420.40
  5. Step 5: Solve for x
    x = 49,768,334,420.40/345,378
  6. Step 6: Final answer
    x = 144,098.16

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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.