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Finding the Fourth Proportional to 178,090.56, 267,046.56 and 99,259.20

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Solution

The fourth proportional to 178,090.56, 267,046.56 and 99,259.20 is: 148,839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,090.56 : 267,046.56 = 99,259.20 : x
  2. Step 2: Convert to fraction form
    178,090.56/267,046.56 = 99,259.20/x
  3. Step 3: Cross multiply
    178,090.56x = 267,046.56 × 99,259.20
  4. Step 4: Simplify right side
    178,090.56x = 26,506,827,908.35
  5. Step 5: Solve for x
    x = 26,506,827,908.35/178,090.56
  6. Step 6: Final answer
    x = 148,839.04

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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.