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Finding the Fourth Proportional to 102,036.06, 153,069.87 and 52,089.06

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Solution

The fourth proportional to 102,036.06, 153,069.87 and 52,089.06 is: 78,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,036.06 : 153,069.87 = 52,089.06 : x
  2. Step 2: Convert to fraction form
    102,036.06/153,069.87 = 52,089.06/x
  3. Step 3: Cross multiply
    102,036.06x = 153,069.87 × 52,089.06
  4. Step 4: Simplify right side
    102,036.06x = 7,973,265,642.62
  5. Step 5: Solve for x
    x = 7,973,265,642.62/102,036.06
  6. Step 6: Final answer
    x = 78,141.65

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Why These Related Problems?

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