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Finding the Fourth Proportional to 130,714.04, 180,378.05 and 73,348.02

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Solution

The fourth proportional to 130,714.04, 180,378.05 and 73,348.02 is: 101,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,714.04 : 180,378.05 = 73,348.02 : x
  2. Step 2: Convert to fraction form
    130,714.04/180,378.05 = 73,348.02/x
  3. Step 3: Cross multiply
    130,714.04x = 180,378.05 × 73,348.02
  4. Step 4: Simplify right side
    130,714.04x = 13,230,372,452.22
  5. Step 5: Solve for x
    x = 13,230,372,452.22/130,714.04
  6. Step 6: Final answer
    x = 101,216.15

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