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Finding the Fourth Proportional to 102,034.83, 153,273.67 and 86,271.51

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Solution

The fourth proportional to 102,034.83, 153,273.67 and 86,271.51 is: 129,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,034.83 : 153,273.67 = 86,271.51 : x
  2. Step 2: Convert to fraction form
    102,034.83/153,273.67 = 86,271.51/x
  3. Step 3: Cross multiply
    102,034.83x = 153,273.67 × 86,271.51
  4. Step 4: Simplify right side
    102,034.83x = 13,223,151,535.86
  5. Step 5: Solve for x
    x = 13,223,151,535.86/102,034.83
  6. Step 6: Final answer
    x = 129,594.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.