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Finding the Fourth Proportional to 262,063.64, 361,657.50 and 148,905.56

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Solution

The fourth proportional to 262,063.64, 361,657.50 and 148,905.56 is: 205,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,063.64 : 361,657.50 = 148,905.56 : x
  2. Step 2: Convert to fraction form
    262,063.64/361,657.50 = 148,905.56/x
  3. Step 3: Cross multiply
    262,063.64x = 361,657.50 × 148,905.56
  4. Step 4: Simplify right side
    262,063.64x = 53,852,812,565.70
  5. Step 5: Solve for x
    x = 53,852,812,565.70/262,063.64
  6. Step 6: Final answer
    x = 205,495.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.