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Finding the Fourth Proportional to 408,034.95, 612,051.95 and 141,795.50

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Solution

The fourth proportional to 408,034.95, 612,051.95 and 141,795.50 is: 212,693.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,034.95 : 612,051.95 = 141,795.50 : x
  2. Step 2: Convert to fraction form
    408,034.95/612,051.95 = 141,795.50/x
  3. Step 3: Cross multiply
    408,034.95x = 612,051.95 × 141,795.50
  4. Step 4: Simplify right side
    408,034.95x = 86,786,208,506.99
  5. Step 5: Solve for x
    x = 86,786,208,506.99/408,034.95
  6. Step 6: Final answer
    x = 212,693.08

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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.