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Finding the Fourth Proportional to 207,846.60, 310,991.40 and 148,013.40

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Solution

The fourth proportional to 207,846.60, 310,991.40 and 148,013.40 is: 221,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,846.60 : 310,991.40 = 148,013.40 : x
  2. Step 2: Convert to fraction form
    207,846.60/310,991.40 = 148,013.40/x
  3. Step 3: Cross multiply
    207,846.60x = 310,991.40 × 148,013.40
  4. Step 4: Simplify right side
    207,846.60x = 46,030,894,484.76
  5. Step 5: Solve for x
    x = 46,030,894,484.76/207,846.60
  6. Step 6: Final answer
    x = 221,465.71

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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.