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Finding the Fourth Proportional to 295,061.74, 442,484.17 and 105,470.94

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Solution

The fourth proportional to 295,061.74, 442,484.17 and 105,470.94 is: 158,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,061.74 : 442,484.17 = 105,470.94 : x
  2. Step 2: Convert to fraction form
    295,061.74/442,484.17 = 105,470.94/x
  3. Step 3: Cross multiply
    295,061.74x = 442,484.17 × 105,470.94
  4. Step 4: Simplify right side
    295,061.74x = 46,669,222,740.66
  5. Step 5: Solve for x
    x = 46,669,222,740.66/295,061.74
  6. Step 6: Final answer
    x = 158,167.65

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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.