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Finding the Fourth Proportional to 212,541.60, 318,812.40 and 146,186.40

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Solution

The fourth proportional to 212,541.60, 318,812.40 and 146,186.40 is: 219,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,541.60 : 318,812.40 = 146,186.40 : x
  2. Step 2: Convert to fraction form
    212,541.60/318,812.40 = 146,186.40/x
  3. Step 3: Cross multiply
    212,541.60x = 318,812.40 × 146,186.40
  4. Step 4: Simplify right side
    212,541.60x = 46,606,037,031.36
  5. Step 5: Solve for x
    x = 46,606,037,031.36/212,541.60
  6. Step 6: Final answer
    x = 219,279.60

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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.