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Finding the Fourth Proportional to 225,566.47, 311,281.63 and 123,595.77

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Solution

The fourth proportional to 225,566.47, 311,281.63 and 123,595.77 is: 170,562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,566.47 : 311,281.63 = 123,595.77 : x
  2. Step 2: Convert to fraction form
    225,566.47/311,281.63 = 123,595.77/x
  3. Step 3: Cross multiply
    225,566.47x = 311,281.63 × 123,595.77
  4. Step 4: Simplify right side
    225,566.47x = 38,473,094,300.25
  5. Step 5: Solve for x
    x = 38,473,094,300.25/225,566.47
  6. Step 6: Final answer
    x = 170,562.11

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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.