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Finding the Fourth Proportional to 231,048.95, 346,089.96 and 185,825.89

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Solution

The fourth proportional to 231,048.95, 346,089.96 and 185,825.89 is: 278,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,048.95 : 346,089.96 = 185,825.89 : x
  2. Step 2: Convert to fraction form
    231,048.95/346,089.96 = 185,825.89/x
  3. Step 3: Cross multiply
    231,048.95x = 346,089.96 × 185,825.89
  4. Step 4: Simplify right side
    231,048.95x = 64,312,473,907.94
  5. Step 5: Solve for x
    x = 64,312,473,907.94/231,048.95
  6. Step 6: Final answer
    x = 278,349.99

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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.