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Finding the Fourth Proportional to 209,510.58, 289,462.86 and 146,131.32

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Solution

The fourth proportional to 209,510.58, 289,462.86 and 146,131.32 is: 201,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,510.58 : 289,462.86 = 146,131.32 : x
  2. Step 2: Convert to fraction form
    209,510.58/289,462.86 = 146,131.32/x
  3. Step 3: Cross multiply
    209,510.58x = 289,462.86 × 146,131.32
  4. Step 4: Simplify right side
    209,510.58x = 42,299,589,822.78
  5. Step 5: Solve for x
    x = 42,299,589,822.78/209,510.58
  6. Step 6: Final answer
    x = 201,897.15

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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.