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Finding the Fourth Proportional to 210,124.50, 289,971.81 and 134,673

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Solution

The fourth proportional to 210,124.50, 289,971.81 and 134,673 is: 185,848.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,124.50 : 289,971.81 = 134,673 : x
  2. Step 2: Convert to fraction form
    210,124.50/289,971.81 = 134,673/x
  3. Step 3: Cross multiply
    210,124.50x = 289,971.81 × 134,673
  4. Step 4: Simplify right side
    210,124.50x = 39,051,373,568.13
  5. Step 5: Solve for x
    x = 39,051,373,568.13/210,124.50
  6. Step 6: Final answer
    x = 185,848.74

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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.