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Finding the Fourth Proportional to 238,304, 357,346.99 and 142,284.79

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Solution

The fourth proportional to 238,304, 357,346.99 and 142,284.79 is: 213,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,304 : 357,346.99 = 142,284.79 : x
  2. Step 2: Convert to fraction form
    238,304/357,346.99 = 142,284.79/x
  3. Step 3: Cross multiply
    238,304x = 357,346.99 × 142,284.79
  4. Step 4: Simplify right side
    238,304x = 50,845,041,429.28
  5. Step 5: Solve for x
    x = 50,845,041,429.28/238,304
  6. Step 6: Final answer
    x = 213,362.10

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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.