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Finding the Fourth Proportional to 242,370, 334,496.52 and 141,852.24

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Solution

The fourth proportional to 242,370, 334,496.52 and 141,852.24 is: 195,771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,370 : 334,496.52 = 141,852.24 : x
  2. Step 2: Convert to fraction form
    242,370/334,496.52 = 141,852.24/x
  3. Step 3: Cross multiply
    242,370x = 334,496.52 × 141,852.24
  4. Step 4: Simplify right side
    242,370x = 47,449,080,634.20
  5. Step 5: Solve for x
    x = 47,449,080,634.20/242,370
  6. Step 6: Final answer
    x = 195,771.26

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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.