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Finding the Fourth Proportional to 350,545.86, 525,907.24 and 97,826.14

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Solution

The fourth proportional to 350,545.86, 525,907.24 and 97,826.14 is: 146,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,545.86 : 525,907.24 = 97,826.14 : x
  2. Step 2: Convert to fraction form
    350,545.86/525,907.24 = 97,826.14/x
  3. Step 3: Cross multiply
    350,545.86x = 525,907.24 × 97,826.14
  4. Step 4: Simplify right side
    350,545.86x = 51,447,472,902.28
  5. Step 5: Solve for x
    x = 51,447,472,902.28/350,545.86
  6. Step 6: Final answer
    x = 146,763.89

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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.