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Finding the Fourth Proportional to 153,377.84, 230,039.06 and 53,566.57

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Solution

The fourth proportional to 153,377.84, 230,039.06 and 53,566.57 is: 80,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,377.84 : 230,039.06 = 53,566.57 : x
  2. Step 2: Convert to fraction form
    153,377.84/230,039.06 = 53,566.57/x
  3. Step 3: Cross multiply
    153,377.84x = 230,039.06 × 53,566.57
  4. Step 4: Simplify right side
    153,377.84x = 12,322,402,135.97
  5. Step 5: Solve for x
    x = 12,322,402,135.97/153,377.84
  6. Step 6: Final answer
    x = 80,340.17

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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.