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Finding the Fourth Proportional to 242,265.88, 334,353.72 and 146,825.20

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Solution

The fourth proportional to 242,265.88, 334,353.72 and 146,825.20 is: 202,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,265.88 : 334,353.72 = 146,825.20 : x
  2. Step 2: Convert to fraction form
    242,265.88/334,353.72 = 146,825.20/x
  3. Step 3: Cross multiply
    242,265.88x = 334,353.72 × 146,825.20
  4. Step 4: Simplify right side
    242,265.88x = 49,091,551,809.74
  5. Step 5: Solve for x
    x = 49,091,551,809.74/242,265.88
  6. Step 6: Final answer
    x = 202,635.02

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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.