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Finding the Fourth Proportional to 152,574.71, 228,895.77 and 51,377.73

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Solution

The fourth proportional to 152,574.71, 228,895.77 and 51,377.73 is: 77,077.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,574.71 : 228,895.77 = 51,377.73 : x
  2. Step 2: Convert to fraction form
    152,574.71/228,895.77 = 51,377.73/x
  3. Step 3: Cross multiply
    152,574.71x = 228,895.77 × 51,377.73
  4. Step 4: Simplify right side
    152,574.71x = 11,760,144,403.51
  5. Step 5: Solve for x
    x = 11,760,144,403.51/152,574.71
  6. Step 6: Final answer
    x = 77,077.94

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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.