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Finding the Fourth Proportional to 178,457.63, 267,673.91 and 83,708.60

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Solution

The fourth proportional to 178,457.63, 267,673.91 and 83,708.60 is: 125,557.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,457.63 : 267,673.91 = 83,708.60 : x
  2. Step 2: Convert to fraction form
    178,457.63/267,673.91 = 83,708.60/x
  3. Step 3: Cross multiply
    178,457.63x = 267,673.91 × 83,708.60
  4. Step 4: Simplify right side
    178,457.63x = 22,406,606,505.71
  5. Step 5: Solve for x
    x = 22,406,606,505.71/178,457.63
  6. Step 6: Final answer
    x = 125,557.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.