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Finding the Fourth Proportional to 207,864.60, 311,018.40 and 148,031.40

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Solution

The fourth proportional to 207,864.60, 311,018.40 and 148,031.40 is: 221,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,864.60 : 311,018.40 = 148,031.40 : x
  2. Step 2: Convert to fraction form
    207,864.60/311,018.40 = 148,031.40/x
  3. Step 3: Cross multiply
    207,864.60x = 311,018.40 × 148,031.40
  4. Step 4: Simplify right side
    207,864.60x = 46,040,489,177.76
  5. Step 5: Solve for x
    x = 46,040,489,177.76/207,864.60
  6. Step 6: Final answer
    x = 221,492.69

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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.