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Finding the Fourth Proportional to 158,894.64, 238,315.62 and 52,279.92

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Solution

The fourth proportional to 158,894.64, 238,315.62 and 52,279.92 is: 78,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,894.64 : 238,315.62 = 52,279.92 : x
  2. Step 2: Convert to fraction form
    158,894.64/238,315.62 = 52,279.92/x
  3. Step 3: Cross multiply
    158,894.64x = 238,315.62 × 52,279.92
  4. Step 4: Simplify right side
    158,894.64x = 12,459,121,548.35
  5. Step 5: Solve for x
    x = 12,459,121,548.35/158,894.64
  6. Step 6: Final answer
    x = 78,411.21

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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.