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Finding the Fourth Proportional to 242,523, 334,681.74 and 141,921

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Solution

The fourth proportional to 242,523, 334,681.74 and 141,921 is: 195,850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,523 : 334,681.74 = 141,921 : x
  2. Step 2: Convert to fraction form
    242,523/334,681.74 = 141,921/x
  3. Step 3: Cross multiply
    242,523x = 334,681.74 × 141,921
  4. Step 4: Simplify right side
    242,523x = 47,498,367,222.54
  5. Step 5: Solve for x
    x = 47,498,367,222.54/242,523
  6. Step 6: Final answer
    x = 195,850.98

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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.