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Finding the Fourth Proportional to 357,069.72, 535,603.96 and 146,559.36

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Solution

The fourth proportional to 357,069.72, 535,603.96 and 146,559.36 is: 219,838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,069.72 : 535,603.96 = 146,559.36 : x
  2. Step 2: Convert to fraction form
    357,069.72/535,603.96 = 146,559.36/x
  3. Step 3: Cross multiply
    357,069.72x = 535,603.96 × 146,559.36
  4. Step 4: Simplify right side
    357,069.72x = 78,497,773,591.07
  5. Step 5: Solve for x
    x = 78,497,773,591.07/357,069.72
  6. Step 6: Final answer
    x = 219,838.79

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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.