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Finding the Fourth Proportional to 178,345.70, 267,530.70 and 56,756.60

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Solution

The fourth proportional to 178,345.70, 267,530.70 and 56,756.60 is: 85,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,345.70 : 267,530.70 = 56,756.60 : x
  2. Step 2: Convert to fraction form
    178,345.70/267,530.70 = 56,756.60/x
  3. Step 3: Cross multiply
    178,345.70x = 267,530.70 × 56,756.60
  4. Step 4: Simplify right side
    178,345.70x = 15,184,132,927.62
  5. Step 5: Solve for x
    x = 15,184,132,927.62/178,345.70
  6. Step 6: Final answer
    x = 85,138.77

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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.