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Finding the Fourth Proportional to 242,695.31, 364,018.36 and 65,179.26

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Solution

The fourth proportional to 242,695.31, 364,018.36 and 65,179.26 is: 97,762.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,695.31 : 364,018.36 = 65,179.26 : x
  2. Step 2: Convert to fraction form
    242,695.31/364,018.36 = 65,179.26/x
  3. Step 3: Cross multiply
    242,695.31x = 364,018.36 × 65,179.26
  4. Step 4: Simplify right side
    242,695.31x = 23,726,447,331.21
  5. Step 5: Solve for x
    x = 23,726,447,331.21/242,695.31
  6. Step 6: Final answer
    x = 97,762.28

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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.