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Finding the Fourth Proportional to 225,136.94, 310,553.61 and 148,656.74

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Solution

The fourth proportional to 225,136.94, 310,553.61 and 148,656.74 is: 205,056.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,136.94 : 310,553.61 = 148,656.74 : x
  2. Step 2: Convert to fraction form
    225,136.94/310,553.61 = 148,656.74/x
  3. Step 3: Cross multiply
    225,136.94x = 310,553.61 × 148,656.74
  4. Step 4: Simplify right side
    225,136.94x = 46,165,887,257.83
  5. Step 5: Solve for x
    x = 46,165,887,257.83/225,136.94
  6. Step 6: Final answer
    x = 205,056.92

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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.