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Finding the Fourth Proportional to 130,670.35, 180,314.13 and 73,301.65

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Solution

The fourth proportional to 130,670.35, 180,314.13 and 73,301.65 is: 101,150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,670.35 : 180,314.13 = 73,301.65 : x
  2. Step 2: Convert to fraction form
    130,670.35/180,314.13 = 73,301.65/x
  3. Step 3: Cross multiply
    130,670.35x = 180,314.13 × 73,301.65
  4. Step 4: Simplify right side
    130,670.35x = 13,217,323,247.31
  5. Step 5: Solve for x
    x = 13,217,323,247.31/130,670.35
  6. Step 6: Final answer
    x = 101,150.13

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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.