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Finding the Fourth Proportional to 242,355.50, 334,476.51 and 141,837.74

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Solution

The fourth proportional to 242,355.50, 334,476.51 and 141,837.74 is: 195,751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,355.50 : 334,476.51 = 141,837.74 : x
  2. Step 2: Convert to fraction form
    242,355.50/334,476.51 = 141,837.74/x
  3. Step 3: Cross multiply
    242,355.50x = 334,476.51 × 141,837.74
  4. Step 4: Simplify right side
    242,355.50x = 47,441,392,261.49
  5. Step 5: Solve for x
    x = 47,441,392,261.49/242,355.50
  6. Step 6: Final answer
    x = 195,751.25

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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.