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Finding the Fourth Proportional to 294,754.58, 442,225.28 and 105,210.75

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Solution

The fourth proportional to 294,754.58, 442,225.28 and 105,210.75 is: 157,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,754.58 : 442,225.28 = 105,210.75 : x
  2. Step 2: Convert to fraction form
    294,754.58/442,225.28 = 105,210.75/x
  3. Step 3: Cross multiply
    294,754.58x = 442,225.28 × 105,210.75
  4. Step 4: Simplify right side
    294,754.58x = 46,526,853,377.76
  5. Step 5: Solve for x
    x = 46,526,853,377.76/294,754.58
  6. Step 6: Final answer
    x = 157,849.47

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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.