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Finding the Fourth Proportional to 178,341.66, 267,547.44 and 66,022.80

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Solution

The fourth proportional to 178,341.66, 267,547.44 and 66,022.80 is: 99,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,341.66 : 267,547.44 = 66,022.80 : x
  2. Step 2: Convert to fraction form
    178,341.66/267,547.44 = 66,022.80/x
  3. Step 3: Cross multiply
    178,341.66x = 267,547.44 × 66,022.80
  4. Step 4: Simplify right side
    178,341.66x = 17,664,231,121.63
  5. Step 5: Solve for x
    x = 17,664,231,121.63/178,341.66
  6. Step 6: Final answer
    x = 99,047.14

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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.