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Finding the Fourth Proportional to 225,807, 338,710.65 and 57,339.96

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Solution

The fourth proportional to 225,807, 338,710.65 and 57,339.96 is: 86,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,807 : 338,710.65 = 57,339.96 : x
  2. Step 2: Convert to fraction form
    225,807/338,710.65 = 57,339.96/x
  3. Step 3: Cross multiply
    225,807x = 338,710.65 × 57,339.96
  4. Step 4: Simplify right side
    225,807x = 19,421,655,122.57
  5. Step 5: Solve for x
    x = 19,421,655,122.57/225,807
  6. Step 6: Final answer
    x = 86,009.98

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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.