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Finding the Fourth Proportional to 233,145.63, 349,780.01 and 83,400.93

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Solution

The fourth proportional to 233,145.63, 349,780.01 and 83,400.93 is: 125,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,145.63 : 349,780.01 = 83,400.93 : x
  2. Step 2: Convert to fraction form
    233,145.63/349,780.01 = 83,400.93/x
  3. Step 3: Cross multiply
    233,145.63x = 349,780.01 × 83,400.93
  4. Step 4: Simplify right side
    233,145.63x = 29,171,977,712.40
  5. Step 5: Solve for x
    x = 29,171,977,712.40/233,145.63
  6. Step 6: Final answer
    x = 125,123.42

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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.