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Finding the Fourth Proportional to 102,834.75, 153,128.49 and 99,051.36

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Solution

The fourth proportional to 102,834.75, 153,128.49 and 99,051.36 is: 147,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,834.75 : 153,128.49 = 99,051.36 : x
  2. Step 2: Convert to fraction form
    102,834.75/153,128.49 = 99,051.36/x
  3. Step 3: Cross multiply
    102,834.75x = 153,128.49 × 99,051.36
  4. Step 4: Simplify right side
    102,834.75x = 15,167,585,189.25
  5. Step 5: Solve for x
    x = 15,167,585,189.25/102,834.75
  6. Step 6: Final answer
    x = 147,494.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.