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Finding the Fourth Proportional to 158,904.96, 238,344.96 and 70,160.64

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Solution

The fourth proportional to 158,904.96, 238,344.96 and 70,160.64 is: 105,235.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,904.96 : 238,344.96 = 70,160.64 : x
  2. Step 2: Convert to fraction form
    158,904.96/238,344.96 = 70,160.64/x
  3. Step 3: Cross multiply
    158,904.96x = 238,344.96 × 70,160.64
  4. Step 4: Simplify right side
    158,904.96x = 16,722,434,934.37
  5. Step 5: Solve for x
    x = 16,722,434,934.37/158,904.96
  6. Step 6: Final answer
    x = 105,235.45

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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.