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Finding the Fourth Proportional to 130,753.80, 180,495.18 and 110,714.58

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Solution

The fourth proportional to 130,753.80, 180,495.18 and 110,714.58 is: 152,832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,753.80 : 180,495.18 = 110,714.58 : x
  2. Step 2: Convert to fraction form
    130,753.80/180,495.18 = 110,714.58/x
  3. Step 3: Cross multiply
    130,753.80x = 180,495.18 × 110,714.58
  4. Step 4: Simplify right side
    130,753.80x = 19,983,448,045.72
  5. Step 5: Solve for x
    x = 19,983,448,045.72/130,753.80
  6. Step 6: Final answer
    x = 152,832.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.