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Finding the Fourth Proportional to 209,562.34, 289,148.78 and 175,707.58

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Solution

The fourth proportional to 209,562.34, 289,148.78 and 175,707.58 is: 242,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,562.34 : 289,148.78 = 175,707.58 : x
  2. Step 2: Convert to fraction form
    209,562.34/289,148.78 = 175,707.58/x
  3. Step 3: Cross multiply
    209,562.34x = 289,148.78 × 175,707.58
  4. Step 4: Simplify right side
    209,562.34x = 50,805,632,393.75
  5. Step 5: Solve for x
    x = 50,805,632,393.75/209,562.34
  6. Step 6: Final answer
    x = 242,436.84

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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.