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Finding the Fourth Proportional to 258,113.74, 356,158.47 and 144,914.62

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Solution

The fourth proportional to 258,113.74, 356,158.47 and 144,914.62 is: 199,960.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,113.74 : 356,158.47 = 144,914.62 : x
  2. Step 2: Convert to fraction form
    258,113.74/356,158.47 = 144,914.62/x
  3. Step 3: Cross multiply
    258,113.74x = 356,158.47 × 144,914.62
  4. Step 4: Simplify right side
    258,113.74x = 51,612,569,339.83
  5. Step 5: Solve for x
    x = 51,612,569,339.83/258,113.74
  6. Step 6: Final answer
    x = 199,960.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.