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Finding the Fourth Proportional to 158,934.40, 238,401.60 and 142,345.60

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Solution

The fourth proportional to 158,934.40, 238,401.60 and 142,345.60 is: 213,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,934.40 : 238,401.60 = 142,345.60 : x
  2. Step 2: Convert to fraction form
    158,934.40/238,401.60 = 142,345.60/x
  3. Step 3: Cross multiply
    158,934.40x = 238,401.60 × 142,345.60
  4. Step 4: Simplify right side
    158,934.40x = 33,935,418,792.96
  5. Step 5: Solve for x
    x = 33,935,418,792.96/158,934.40
  6. Step 6: Final answer
    x = 213,518.40

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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.