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Finding the Fourth Proportional to 292,984, 439,215.36 and 105,953.92

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Solution

The fourth proportional to 292,984, 439,215.36 and 105,953.92 is: 158,836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,984 : 439,215.36 = 105,953.92 : x
  2. Step 2: Convert to fraction form
    292,984/439,215.36 = 105,953.92/x
  3. Step 3: Cross multiply
    292,984x = 439,215.36 × 105,953.92
  4. Step 4: Simplify right side
    292,984x = 46,536,589,116.21
  5. Step 5: Solve for x
    x = 46,536,589,116.21/292,984
  6. Step 6: Final answer
    x = 158,836.62

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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.