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Finding the Fourth Proportional to 98,146.65, 135,442.39 and 53,434.65

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Solution

The fourth proportional to 98,146.65, 135,442.39 and 53,434.65 is: 73,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,146.65 : 135,442.39 = 53,434.65 : x
  2. Step 2: Convert to fraction form
    98,146.65/135,442.39 = 53,434.65/x
  3. Step 3: Cross multiply
    98,146.65x = 135,442.39 × 53,434.65
  4. Step 4: Simplify right side
    98,146.65x = 7,237,316,704.81
  5. Step 5: Solve for x
    x = 7,237,316,704.81/98,146.65
  6. Step 6: Final answer
    x = 73,739.82

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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.