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Finding the Fourth Proportional to 212,719.80, 319,079.70 and 162,953.40

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Solution

The fourth proportional to 212,719.80, 319,079.70 and 162,953.40 is: 244,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,719.80 : 319,079.70 = 162,953.40 : x
  2. Step 2: Convert to fraction form
    212,719.80/319,079.70 = 162,953.40/x
  3. Step 3: Cross multiply
    212,719.80x = 319,079.70 × 162,953.40
  4. Step 4: Simplify right side
    212,719.80x = 51,995,121,985.98
  5. Step 5: Solve for x
    x = 51,995,121,985.98/212,719.80
  6. Step 6: Final answer
    x = 244,430.10

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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.