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Finding the Fourth Proportional to 262,124.76, 361,732.30 and 148,947.50

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Solution

The fourth proportional to 262,124.76, 361,732.30 and 148,947.50 is: 205,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,124.76 : 361,732.30 = 148,947.50 : x
  2. Step 2: Convert to fraction form
    262,124.76/361,732.30 = 148,947.50/x
  3. Step 3: Cross multiply
    262,124.76x = 361,732.30 × 148,947.50
  4. Step 4: Simplify right side
    262,124.76x = 53,879,121,754.25
  5. Step 5: Solve for x
    x = 53,879,121,754.25/262,124.76
  6. Step 6: Final answer
    x = 205,547.62

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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.