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Finding the Fourth Proportional to 257,084.68, 354,685.62 and 167,505.16

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Solution

The fourth proportional to 257,084.68, 354,685.62 and 167,505.16 is: 231,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,084.68 : 354,685.62 = 167,505.16 : x
  2. Step 2: Convert to fraction form
    257,084.68/354,685.62 = 167,505.16/x
  3. Step 3: Cross multiply
    257,084.68x = 354,685.62 × 167,505.16
  4. Step 4: Simplify right side
    257,084.68x = 59,411,671,527.80
  5. Step 5: Solve for x
    x = 59,411,671,527.80/257,084.68
  6. Step 6: Final answer
    x = 231,097.67

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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.