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Finding the Fourth Proportional to 185,159.17, 277,738.76 and 52,052.88

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Solution

The fourth proportional to 185,159.17, 277,738.76 and 52,052.88 is: 78,079.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,159.17 : 277,738.76 = 52,052.88 : x
  2. Step 2: Convert to fraction form
    185,159.17/277,738.76 = 52,052.88/x
  3. Step 3: Cross multiply
    185,159.17x = 277,738.76 × 52,052.88
  4. Step 4: Simplify right side
    185,159.17x = 14,457,102,345.63
  5. Step 5: Solve for x
    x = 14,457,102,345.63/185,159.17
  6. Step 6: Final answer
    x = 78,079.32

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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.