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Finding the Fourth Proportional to 312,522.13, 468,816.14 and 102,159.73

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Solution

The fourth proportional to 312,522.13, 468,816.14 and 102,159.73 is: 153,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,522.13 : 468,816.14 = 102,159.73 : x
  2. Step 2: Convert to fraction form
    312,522.13/468,816.14 = 102,159.73/x
  3. Step 3: Cross multiply
    312,522.13x = 468,816.14 × 102,159.73
  4. Step 4: Simplify right side
    312,522.13x = 47,894,130,282.04
  5. Step 5: Solve for x
    x = 47,894,130,282.04/312,522.13
  6. Step 6: Final answer
    x = 153,250.36

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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.